Stationary Points

Multiple Choice

Find the derivative of $$f\left(x\right)\ =\frac{1}{x^{5\ }}+\frac{1}{x^3}$$

• Answer not shown

• $$-\frac{1}{x^4}\left(-\frac{5}{x^{2\ }}+3\right)$$

• $$5x^4+3x^2$$

• $$\frac{5}{x^6}+\frac{3}{x^4}$$

Match

Match the following

• A

• C

• B

• Not on the graph

• Number of x intercepts shown

local maximum

stationary point only

local maximum

global maximum

3

• local maximum

• stationary point only

• local maximum

• global maximum

• 3

Dropdown

Match the function with the maximum number of possible turning points.

$$f\left(x\right)=4x^{3\ }-\ 5x+x^6$$ ​

Select answer

$$f\left(x\right)=4x^2+2$$ ​

Select answer

$$f\left(x\right)=\frac{1}{3}x+8$$ ​

Select answer

Open Ended

What’s the difference between a minimum and a global minimum?

Open Ended

Will the function f (x) = $$x^3$$ have a global minimum?

Multiple Choice

The function g(x) has a stationary point at (-4, 2). 

What is g′ (-4)?

• 4

• 0

• 1

• 2