Question

Derivative this (1) (−5x2−7x)e^4x

Answer 1

Explanation:

f(x) = (−5x2−7x)e^4x

Using the product rule:

f'(x) = (−5x2−7x)* 4e^4x + e^4x*(-10x - 7)

= e^4x(4(−5x2−7x) - 10x - 7)

= e^4x(-20x^2 - 28x - 10x - 7)

= e^4x(-20x^2 - 38x - 7)