Question

Calculate the derivatives of:

a) y = e^2x^2 - 1

b) f(x) = x^3 10^x

Answer 1

just use the product rule and chain rule
(a) y' = e^(2x^2) * (4x)
(b) f'(x) = 3x^2 10^x + x^3 * ln10 * 10^x
because 10^x = (e*ln10)^x = e^(ln10 x)