0
$\begingroup$

I want to find the derivative of $f'(x^3)$. I tried using chain rule and I got $3x^2f'(x^3)$. Is that correct?

$\endgroup$
3
  • 1
    $\begingroup$ Yes, you are correct. Do you mean "I want to find the derivative of $f(x^{3})$"? $\endgroup$ Commented Nov 16, 2020 at 0:46
  • $\begingroup$ Perfectly correct, if what you mean is $\bigl(f(x^3)\bigr)'$. $\endgroup$
    – Bernard
    Commented Nov 16, 2020 at 0:47
  • 1
    $\begingroup$ do you want the derivative of $f(x^3)$ or $f'(x^3)$? If its the first one then yes, you have correctly applied the chain rule. If you want the second, then it should be $3x^2f''(x^3)$. $\endgroup$
    – peek-a-boo
    Commented Nov 16, 2020 at 0:48

1 Answer 1

4
$\begingroup$

If your function is $g(x)=f'(x^3)$, then it would be by the chain rule $g'(x)=f''(x^3)3x^2$.

Otherwise, if you meant $f(x^3)$, it would be $f'(x)3x^2$.

$\endgroup$
0

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .