AP Calculus: Unit A Intro to Calculus

The table below shows the snowfall in a north-eastern city in inches for the first week in January.

Find the average rate of change in the number of inches of snowfall from January 8 to January 11.

• 2/3 in.

• 2 in.

• 3 in.

• 6 in.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• The derivative of f(x) = x^2 at x = 4

• The derivative of f(x) = x^3 at x = 4

• The derivative of f(x)= x^3 at x = 64

• The derivative of f(x) = x at x = 4

Find the derivative at x = 1. Use Math #8!
y=5x²e^3x

• y'(1)=50e³

• y'(1)=25e³

• y'(1)=50e

• y'(1)=5e³

Where on this graph would you find a HORIZONTAL tangent line?

• x = -3

• x = 0

• x = 3

• There are no horizontal tangent lines on this graph

Select the correct derivative of f(x).

• A.

• B.

• C.

• D.

Given the graph y=f'(x), which of the following could be the graph of y=f(x)?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

• local maximum

• local minimum

• stationary point

Which of the following statements must be true?

I. f has a relative Min at x=-3.

II. The graph of f has a point of inflection at x=2.

III. The graph of f is concave down for 0 < x < 4.

• I only

• II only

• III only

• I and II only

• I and III only

f(4) = 1
f'(4) = 3
Using a linear approximation centered at 4, f(4.5) ≈

• 5/2
• 3/2
• 4/3
• 7/3