Question

What is the instantaneous rate of change of y=x^3-4x^2-4 at x=4 answer options:1816

Answer 1

Find out the derivative of the given function

so

we have

y=x^3-4x^2-4

y'=3x^2-8x

Evaluate at x=4

y'=3(4)^2-8(4)

y'=48-32

y'=16

therefore

the answer is 16