Differentiate the following functions

Question

Differentiate the following functions. A, B, and C are constants.

(a) g(x) = Ae^x cos(Bx)

(b) h(x) = ln(Cx^5 )

Answer 1

This requires the use of the chain and product rules.

(a) g'(x) = Ae^xcos(Bx) - ABe^xsin(Bx)

(b) h'(x) = 5x^(-1)