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:
$\displaystyle y = e^{f(x)} \implies \frac {dy}{dx} = f'(x) \cdot e^{f(x)}$
and, of course, $\displaystyle \pi$ is a constant, and we know that $\displaystyle \frac d{dx}(cf(x)) = c \frac d{dx}f(x)$
so what you have is $\displaystyle y = c \cdot e^{f(x)} \implies \frac {dy}{dx} = c \cdot f'(x) \cdot e^{f(x)}$