Differentiation of exponential functions

Question

f(x) = (7 − e^−4x)4

Answer 1

f(x) = (7 - e^-4x)⁴

 

You need to use the power rule and the chain rule:

 

f'(x) = 4*(7 - e^-4x)³ * d/dx(7 - e^-4x)

 

f'(x) = 4*(7 - e^-4x)³ * (-e^-4x)*(-4)