Question

How do you find the derivative of the function: `f(x) = x^3 - 3x^2 - 1` evaluated at x=3?

Answer 1

`f'(3)=9`

Explanation:

differentiate each term of f(x) using the `color(blue)"power rule"`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx(ax^n)=nax^(n-1))color(white)(2/2)|)))`

`rArrf'(x)=3x^2-6x`

`rArrf'(3)=3(3)^2-6(3)=27-18=9`