How do you differentiate f(v) = [ln(1 + v ^ 2)] ^ e

Question

How do you differentiate the following

f(v) = [ln(1 + v ^ 2)] ^ e

Answer 1

Use the power rule

f'(v) = e [ ln(1+v²) ]^e-1 * d/dx [ln(1+v²)]

= e [ ln(1+v²) ]^e-1 * 2v/(1+v²)