First Derivative Test Quiz

Over what intervals is f(x) decreasing?

Consider the function $$f(x) = x^3 - 3x^2 + 4$$ . Determine the intervals where the function is increasing.

Find the relative maximum point of the function $$f(x) = x^3 - 3x^2 + 4$$ .

Consider the function $$f(x) = x^4 - 4x^3$$ . Determine the intervals where the function is increasing.

For the function $$f(x) = x^4 - 4x^3$$ , determine the intervals where the function is decreasing.

Find the relative minimum point of the function $$f(x) = x^4 - 4x^3$$ .

Find the relative minimum point of the function $$f(x) = x^2 - 4x + 3$$ .

Consider the  $$f'\left(x\right)$$  sign chart.  What is  $$f'\left(3\right)=$$  ?

Consider the  $$f'\left(x\right)$$  sign chart.  What can you conclude about the point  $$x=9$$  on  $$f\left(x\right)$$  ?

Find the decreasing intervals for f(x) = $$\frac{1}{x-3}$$