Question

Let h(x) = f(x) + g(x). If f(x)=x^3 and g(x)=4x^4, what is h’(1)

Answer 1

h'(1) = 19

Explanation:

if h(x) = f(x) + g(x), and f(x) = x³ and g(x) = 4x⁴,

then h(x) = (x³) + (4x⁴)

h(x) = x³ + 4x⁴

h'(x) is the derivative of h(x), which = 3x² + 16x³. Thus, h'(1) = 3(1)² + 16(1)³ = 19