Question

Let f(x)=x3+9x2−81x+14. (a) Use the definition of a derivative or the derivative rules to find g

Answer 1

`g=6x+18`

Explanation:

From the question we are told that:

Function

`f(x)=x^3+9x^2−81x+14`

Generally 1st derivative f'(x) of Fuction f(x) is

`f'(x)=3x^2+2*9(x)-81`

`f'(x)=3x^2+18(x)-81`

Generally 2nd derivative f''(x) of Fuction f(x) is

Where

`f''(x)=g`

Therefore

`g=3x^2+18(x)-81`

`g=2*3x^1+18`

`g=6x+18`