Differentiation of Exponential Functions

Question

Find the derivative of the function.

f(s) = (s⁹ + 1)e^{−s^9}

Answer 1

Deonna:

Use the product and chain rule.

f '(s) = d/ds(s⁹+1)*e^{-s^9} + (s^9+1)*d/ds(e^{-s^9})

Hint d/ds(e^{-s^9}) = -9s⁸*e^{-s^9}