Derivatives and Limits Review 3 - SHS

Differentiate y = (x³ - 1)¹⁰⁰

• 300x²(x³ - 1)⁹⁹

• 99(x³ - 1)⁹⁸

• 100(x³ - 1)⁹⁹

• 100(3x²)⁹⁹

• none of these

• not defined

• doesn't exist

• 2

• 0

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• 1/11

• 15/11

• -1

• -1/11

• none of these

Find tthe slope of the line tangent to the graph of y = x³ - 3 at (-2, -11).

• 6

• 12

• 8

• 9

• none of these

Use the derivative rules to find the derivative of the function f(x) = (3x - 4)²

• f '(x) = 12x - 16

• f '(x) = 9

• f '(x) = 18x - 24

• f '(x) = 6x - 8

• none of these

Find the derivative of the function f (x) = 2x⁴ - 3x³ - 7x² + 3x - 7.

• f ' (x) = 2x³ - 3x² - 7x +3

• f ' (x) = 4x³ - 3x² - 2x +1

• f ' (x) = 8x³ - 9x² - 14x +3

• f ' (x) = 8x⁴ - 9x³ - 14x² +3x

• none of these

Find using Chain Rule $y=2\left(2x-3\right)^2$  

• 4(2x-3)

• 8(2x-3)

• 6(2x-3)

• 3(2x-3)

• none of these

• Does Not Exist

• 9

• 1

• 0

• none of these

What is the limit?

• does not exist

• 2/3

• 1/4

• 0

• none of these

Find the limit of the function as x approaches 2 from the right.

• 1

• -1

• 5

• does not exist