# Math Help - Need help in finding a derivative

1. ## Need help in finding a derivative

Just wrote a test and this question was on my test

find the derivative of

Y= (pi)(e^5x^2-e)
*just wanna know the answer (cuz i think i messed up on this question)

2. Use the chain rule!

$f' (x) = \pi e^{5x^2-e} \cdot (10x)$

3. Originally Posted by supersaiyan
Just wrote a test and this question was on my test

find the derivative of

Y= (pi)(e^5x^2-e)
*just wanna know the answer (cuz i think i messed up on this question)
to explain/summarize Chop Suey's solution:

by the chain rule:

$y = e^{f(x)} \implies \frac {dy}{dx} = f'(x) \cdot e^{f(x)}$

and, of course, $\pi$ is a constant, and we know that $\frac d{dx}(cf(x)) = c \frac d{dx}f(x)$

so what you have is $y = c \cdot e^{f(x)} \implies \frac {dy}{dx} = c \cdot f'(x) \cdot e^{f(x)}$