First Derivative Test Review

If  $$f'\left(a\right)=0$$  and  $$f'\left(x\right)$$  changes from positive to negative at  $$x=a$$  , then  $$f\left(x\right)$$  has 

If  $$f'\left(a\right)=0$$  and  $$f'\left(x\right)$$  changes from negative to positive at $$x=a$$  , then  $$f\left(x\right)$$  has

Where can critical values occur? (check all that apply)

In order for the Extreme Value Theorem to hold, what must be true? (check all that apply)

$$\frac{d}{dx}\left(5x^3\right)$$ = 

Based on algebraic function, solve this equation  $$\frac{\text{d}}{\text{d}x}\left[5x^3+\frac{3}{4}x^4\right]$$