Graphs of Derivatives

Which one of the following statements is always true?

• When a graph is increasing, its derivative is negative.

• When a graph is decreasing, so is its derivative.

• When a graph is decreasing, its derivative is negative.

• When a graph is increasing, so is its derivative.

Tags

CCSS.HSF.IF.B.4

When f'(x) changes from positive to negative, there is(are) ...

• a maximum.
• a minimum.
• no extrema.

f' is given, which could be f?

• A
• B
• C

Select the correct derivative of f(x).

• A.

• B.

• C.

• D.

Tags

CCSS.HSF-IF.C.7A

Which graph is the derivative of the top graph?

• A
• B
• C
• D

Tags

CCSS.HSF.IF.B.4

According to the graph, at the point x=-2, is f(x) increasing or decreasing and why?

• At x=-2 f(x) is increasing because the graph has a positive slope.

• At x=-2 f(x) is decreasing because the graph has a positive slope.

• At x=-2 f(x) is decreasing because the graph lies below the x-axis.

• At x=-2 f(x) is decreasing because the graph has a negative slope

Tags

CCSS.HSF.IF.B.4

For what values of x does f(x) have a horizontal tangent?

• -3.5, 3.5

• -5, 5

• there are no horizontal tangents

• -5, 0, 5

Which graph represents the derivative of this graph?

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• 
• 
• 

The graph of f is shown above.

Which graph represents the graph of f'(x)?

• 
• 
• 
• 

Which of the following could be the graph of f ' , the derivative of f ?

• 
• 
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•