6. Determine the critical points of the given function and classify the nature of each critical point. (i.e. is the critical point a local min / local max / or stationary point) f(x)=-x-4x³-10

What does it mean to say that f(4) is a local maximum valueof f ?

Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.

Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f decreases on the interval -,x1 and increases on the interval x1,, then fx1 is a local maximum value.