Question

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

Answer 1

Answer:

$g=6x+18$

Step-by-step 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

 $g=3x^2+18(x)-81$

 $g=2*3x^1+18$

 $g=6x+18$