3.1 Derivatives Intro

7.

• (A)

• (B)

• (C)

• (D)

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7B

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing

Which graph is the derivative of the top graph?

• A
• B
• C
• D

f' is given, which could be f?

• A
• B
• C

Derivative means the same thing as

• slope of the tangent line

• slope of the normal line

• slope of the secant line

• instantaneous acceleration

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

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

Which graph represents the derivative of this graph?

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3

The graph of f is shown above.

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

• 
• 
• 
•