Derivatives of Exponential Functions with Base e

Question

Answer 1

Formula for f(x) = xⁿ f'(x) = nx^n-1 and g(u) = e^u g'(u) = e^u du/dx

So: if s(x) = x^-7 + e^-8x

Then s'(x) = -7x^-8 - 8e^-8x

I hope this helps. Remember always write down every step.