Question

Let h(x) = f(x)g(x). If ƒ(x) = −x+2 and g(x) = −4x² − 3x − 3, what is h' (x)? - Select the correct answer below: A. (−1)(–4x² – 3x − 3) + (−x + 2)(−8x − 3)B. (−1)(−8x − 3) + (−x + 2)(−4x² – 3x − 3) C. (−1)(–4x² – 3x − 3) D. (−x + 2)(−1) + (−4x² − 3x − 3)(−8x − 3) E. (−1)(–8 – 3)

Answer 1

Option A

Explanation:

ƒ(x) = −x+2

g(x) = −4x² − 3x − 3

h(x) = f(x)g(x)

=(−x+2)(−4x² − 3x − 3)

h(x) =4x^3+6x+3-8x^2 -6x-6

h'(x) =12x^2 -10x-3

If we solve option A then option A is same as h'(x)