Use the following function $$g(x)=x^3-(-3x^2)-9x-7$$

Determine the (x, y) coordinate for all local minima and maxima.

Question

Use the following function $$g(x)=x^3-(-3x^2)-9x-7$$

Determine the (x, y) coordinate for all local minima and maxima.

stamp · Answer

$$g'(x)=3x^2+6x-9$$$$g'(x)=0 , x=-3, 1$$
^ known from previous work regarding this function

stamp · Answer

Use the signs to the left and the right of the zeros

Consdering x = -3, left and right signs are + , -
This means point (-3, f(-3)) is a local maxima.

Considering x = 1, left and right signs are - , + 
This means point (1, f(1)) is local minima.

stamp · Answer

local maxima (-3, 20)

local minima (1, -12)

stamp · Answer

@Loser66 hihihi

loser66 · Answer

great