Question

Lef f be the function given by f(x)=x^3-6x^2+8x-2. what is the instantaneous rate of change of f at x = 3.

Answer 1

First find the derivative of f(x):-

f'(x)  =  3x^2 - 12x + 8  

So instantaneous rate at x = 3 

=  3(3)^2 - 12(3) + 8 

=  27 - 36 + 8  =   -1  answer