Question

Use the following function \[g(x)=x^3-(-3x^2)-9x-7\]

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

Answer 1

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

Answer 2

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.

Answer 3

local maxima (-3, 20)

local minima (1, -12)

Answer 4

@Loser66 hihihi

Answer 5

great