Question

3. f(x) =(x-1)(x2+2) then f'() :

Answer 1

Answer:

$f'(x)=3x^2-2x+2$

Step-by-step explanation:

Assuming that the function is

$f(x)=(x-1)(x^2+2)$

First, we need to remove the parenthesis. Once this is done, we get

$f(x)=x^3-x^2+2x-2$

Now that the parenthesis are gone, we can differentiate each term. To do this, we can use the power rule, which states

$f(x)=x^n\\f'(x)=nx^{n-1}$

This gives us

$f'(x)=3x^2-2x+2$