BC Unit 3 Test Review Topics

The slope of the tangent line is...

• the slope of the normal line

• the original graph

• the reciprocal of the graph of f(x)

• the derivative

Find the slope of the tangent line to

f(x) = -3x²-6x at x = 1.

• m = 0

• f'(x) = -6x - 6

• f'(x) = 6x

• m = -12

Find the derivative of

y = 2x² (3x - 4)

• 6x³ - 8x²

• 18x² - 16x

• 15x² - 6x

• 6x - 4

(Calc Active) What is the average rate of change of the function below over the indicated interval?

f(x) = x² + 5x + 5, [-2,6]

• 9

• 1

• 72

• 0

(Calc Active) What is x-value at which the function below has the same slope as the average rate of change over the indicated interval?

f(x) = x² - 3x - 28, [-4,7]

• 1.5

• -1.5

• 0.5

• -0.5

All edges of a cube are expanding at a rate of 3 centimeters per second. How fast is the volume changing when each edge is 1 centimeter?

• 27 cm/s^3

• 1 cm/s^3

• 3 cm/s^3

• 9 cm/s^3

Evaluate the definite integral.

• 40
• 20
• 10
• Not possible

• 1 ⁄ (1+x³) 
• (3x²) ⁄ (1+x³) 
• x³  ⁄ (1+x³) 
• HELP

• -cos(x⁶)

• sin(x⁶)

• 2x sin(x³)

• 2x sin(x⁶)

Find the limit as x approaches 1 from the left.

• 3.5

• 2

• 1

• DNE