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What does $F'$ and $F''$ mean?


Taylor expansion on interval or at infinityWhat does a “half derivative” mean?What does $a$ mean in Taylor series formula?what does this summation mean?What does the Taylor's Inequality mean?Why Does The Taylor Remainder Formula Work?Derivative to Zero, What does it intuitively mean?What does $dx$ mean without $dy$?






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margin-bottom:0;

.everyonelovesstackoverflowposition:absolute;height:1px;width:1px;opacity:0;top:0;left:0;pointer-events:none;








2












$begingroup$


I'm trying to learn what a Taylor series is, This is the equation I'm looking at and I know 0 calculus. I have been told that $F'(x)$ is a derivative but what does $F''(x)$ mean?










share|cite|improve this question











$endgroup$









  • 1




    $begingroup$
    shouldn't it be "what do $F'$ and $F''$ mean?"
    $endgroup$
    – mathworker21
    Apr 17 at 5:18










  • $begingroup$
    What do you mean? that's what I wrote.
    $endgroup$
    – Loren Meehan
    Apr 17 at 5:23






  • 1




    $begingroup$
    @LorenMeehan : No, you used a double quote. The comment used two single quotes, which could have been a hint that it's more like (F')' :)
    $endgroup$
    – vsz
    Apr 17 at 6:04










  • $begingroup$
    oh, ok. thanks for clarifying.
    $endgroup$
    – Loren Meehan
    Apr 17 at 7:09






  • 1




    $begingroup$
    @vsz I italicized "do" for a reason...
    $endgroup$
    – mathworker21
    Apr 17 at 7:16

















2












$begingroup$


I'm trying to learn what a Taylor series is, This is the equation I'm looking at and I know 0 calculus. I have been told that $F'(x)$ is a derivative but what does $F''(x)$ mean?










share|cite|improve this question











$endgroup$









  • 1




    $begingroup$
    shouldn't it be "what do $F'$ and $F''$ mean?"
    $endgroup$
    – mathworker21
    Apr 17 at 5:18










  • $begingroup$
    What do you mean? that's what I wrote.
    $endgroup$
    – Loren Meehan
    Apr 17 at 5:23






  • 1




    $begingroup$
    @LorenMeehan : No, you used a double quote. The comment used two single quotes, which could have been a hint that it's more like (F')' :)
    $endgroup$
    – vsz
    Apr 17 at 6:04










  • $begingroup$
    oh, ok. thanks for clarifying.
    $endgroup$
    – Loren Meehan
    Apr 17 at 7:09






  • 1




    $begingroup$
    @vsz I italicized "do" for a reason...
    $endgroup$
    – mathworker21
    Apr 17 at 7:16













2












2








2





$begingroup$


I'm trying to learn what a Taylor series is, This is the equation I'm looking at and I know 0 calculus. I have been told that $F'(x)$ is a derivative but what does $F''(x)$ mean?










share|cite|improve this question











$endgroup$




I'm trying to learn what a Taylor series is, This is the equation I'm looking at and I know 0 calculus. I have been told that $F'(x)$ is a derivative but what does $F''(x)$ mean?







calculus functions derivatives notation taylor-expansion






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Apr 17 at 6:40









TheSimpliFire

14.9k7 gold badges33 silver badges74 bronze badges




14.9k7 gold badges33 silver badges74 bronze badges










asked Apr 17 at 5:09









Loren MeehanLoren Meehan

111 bronze badge




111 bronze badge










  • 1




    $begingroup$
    shouldn't it be "what do $F'$ and $F''$ mean?"
    $endgroup$
    – mathworker21
    Apr 17 at 5:18










  • $begingroup$
    What do you mean? that's what I wrote.
    $endgroup$
    – Loren Meehan
    Apr 17 at 5:23






  • 1




    $begingroup$
    @LorenMeehan : No, you used a double quote. The comment used two single quotes, which could have been a hint that it's more like (F')' :)
    $endgroup$
    – vsz
    Apr 17 at 6:04










  • $begingroup$
    oh, ok. thanks for clarifying.
    $endgroup$
    – Loren Meehan
    Apr 17 at 7:09






  • 1




    $begingroup$
    @vsz I italicized "do" for a reason...
    $endgroup$
    – mathworker21
    Apr 17 at 7:16












  • 1




    $begingroup$
    shouldn't it be "what do $F'$ and $F''$ mean?"
    $endgroup$
    – mathworker21
    Apr 17 at 5:18










  • $begingroup$
    What do you mean? that's what I wrote.
    $endgroup$
    – Loren Meehan
    Apr 17 at 5:23






  • 1




    $begingroup$
    @LorenMeehan : No, you used a double quote. The comment used two single quotes, which could have been a hint that it's more like (F')' :)
    $endgroup$
    – vsz
    Apr 17 at 6:04










  • $begingroup$
    oh, ok. thanks for clarifying.
    $endgroup$
    – Loren Meehan
    Apr 17 at 7:09






  • 1




    $begingroup$
    @vsz I italicized "do" for a reason...
    $endgroup$
    – mathworker21
    Apr 17 at 7:16







1




1




$begingroup$
shouldn't it be "what do $F'$ and $F''$ mean?"
$endgroup$
– mathworker21
Apr 17 at 5:18




$begingroup$
shouldn't it be "what do $F'$ and $F''$ mean?"
$endgroup$
– mathworker21
Apr 17 at 5:18












$begingroup$
What do you mean? that's what I wrote.
$endgroup$
– Loren Meehan
Apr 17 at 5:23




$begingroup$
What do you mean? that's what I wrote.
$endgroup$
– Loren Meehan
Apr 17 at 5:23




1




1




$begingroup$
@LorenMeehan : No, you used a double quote. The comment used two single quotes, which could have been a hint that it's more like (F')' :)
$endgroup$
– vsz
Apr 17 at 6:04




$begingroup$
@LorenMeehan : No, you used a double quote. The comment used two single quotes, which could have been a hint that it's more like (F')' :)
$endgroup$
– vsz
Apr 17 at 6:04












$begingroup$
oh, ok. thanks for clarifying.
$endgroup$
– Loren Meehan
Apr 17 at 7:09




$begingroup$
oh, ok. thanks for clarifying.
$endgroup$
– Loren Meehan
Apr 17 at 7:09




1




1




$begingroup$
@vsz I italicized "do" for a reason...
$endgroup$
– mathworker21
Apr 17 at 7:16




$begingroup$
@vsz I italicized "do" for a reason...
$endgroup$
– mathworker21
Apr 17 at 7:16










1 Answer
1






active

oldest

votes


















5














$begingroup$

$f''$ denotes the second derivative of $f$; that is to say, it is the derivative of the derivative of $f$.






share|cite|improve this answer









$endgroup$














  • $begingroup$
    Thanks! I feel quite stupid now that I didn't figure that myself.
    $endgroup$
    – Loren Meehan
    Apr 17 at 5:22






  • 1




    $begingroup$
    Don't beat yourself up over it, I can understand how it might happen for your first foray into calculus. A good chunk of the notation can be a bit unintuitive at times. :p
    $endgroup$
    – Eevee Trainer
    Apr 17 at 5:25












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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









5














$begingroup$

$f''$ denotes the second derivative of $f$; that is to say, it is the derivative of the derivative of $f$.






share|cite|improve this answer









$endgroup$














  • $begingroup$
    Thanks! I feel quite stupid now that I didn't figure that myself.
    $endgroup$
    – Loren Meehan
    Apr 17 at 5:22






  • 1




    $begingroup$
    Don't beat yourself up over it, I can understand how it might happen for your first foray into calculus. A good chunk of the notation can be a bit unintuitive at times. :p
    $endgroup$
    – Eevee Trainer
    Apr 17 at 5:25















5














$begingroup$

$f''$ denotes the second derivative of $f$; that is to say, it is the derivative of the derivative of $f$.






share|cite|improve this answer









$endgroup$














  • $begingroup$
    Thanks! I feel quite stupid now that I didn't figure that myself.
    $endgroup$
    – Loren Meehan
    Apr 17 at 5:22






  • 1




    $begingroup$
    Don't beat yourself up over it, I can understand how it might happen for your first foray into calculus. A good chunk of the notation can be a bit unintuitive at times. :p
    $endgroup$
    – Eevee Trainer
    Apr 17 at 5:25













5














5










5







$begingroup$

$f''$ denotes the second derivative of $f$; that is to say, it is the derivative of the derivative of $f$.






share|cite|improve this answer









$endgroup$



$f''$ denotes the second derivative of $f$; that is to say, it is the derivative of the derivative of $f$.







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Apr 17 at 5:16









Eevee TrainerEevee Trainer

13.9k3 gold badges21 silver badges47 bronze badges




13.9k3 gold badges21 silver badges47 bronze badges














  • $begingroup$
    Thanks! I feel quite stupid now that I didn't figure that myself.
    $endgroup$
    – Loren Meehan
    Apr 17 at 5:22






  • 1




    $begingroup$
    Don't beat yourself up over it, I can understand how it might happen for your first foray into calculus. A good chunk of the notation can be a bit unintuitive at times. :p
    $endgroup$
    – Eevee Trainer
    Apr 17 at 5:25
















  • $begingroup$
    Thanks! I feel quite stupid now that I didn't figure that myself.
    $endgroup$
    – Loren Meehan
    Apr 17 at 5:22






  • 1




    $begingroup$
    Don't beat yourself up over it, I can understand how it might happen for your first foray into calculus. A good chunk of the notation can be a bit unintuitive at times. :p
    $endgroup$
    – Eevee Trainer
    Apr 17 at 5:25















$begingroup$
Thanks! I feel quite stupid now that I didn't figure that myself.
$endgroup$
– Loren Meehan
Apr 17 at 5:22




$begingroup$
Thanks! I feel quite stupid now that I didn't figure that myself.
$endgroup$
– Loren Meehan
Apr 17 at 5:22




1




1




$begingroup$
Don't beat yourself up over it, I can understand how it might happen for your first foray into calculus. A good chunk of the notation can be a bit unintuitive at times. :p
$endgroup$
– Eevee Trainer
Apr 17 at 5:25




$begingroup$
Don't beat yourself up over it, I can understand how it might happen for your first foray into calculus. A good chunk of the notation can be a bit unintuitive at times. :p
$endgroup$
– Eevee Trainer
Apr 17 at 5:25


















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