2.2 - Derivatives and the Power Rule

What is the derivative of y = 3x²

• y' = 6x

• y' = 3x

• y' = 6x + h

• y' = 6

What is the derivative of y = 4

• 0

• 4

• x

• y

Find dy/dx for y = 4x³ + 3x + 1

• dy/dx = 4x² + 3

• dy/dx = 4x² + 3x

• dy/dx = 12x² + 3x

• dy/dx = 12x² + 3

Tags

CCSS.HSA.APR.A.1

Find f'(x) for f(x) = 3/x²

• f'(x) = -6/x

• f'(x) = -6x³

• f'(x) = -6/x³

• f'(x) = -6x

Tags

CCSS.HSF.IF.A.2

Find the fully simplified Derivative of y = 4x² + 3x + 6x^-2

• y' = 8x + 3 -12x^-3

• y' = 8x + 3 +12/x³

• y' = 8x + 3 -12/x³

• y' = 8x + 3 + 12/x

Tags

CCSS.HSA.APR.A.1

Select the function that is equivalent to y

• (x + 1)^4/7

• (x + 1)^7/4

• (x + 1)^/4/7

• x^4/7 + 1^4/7

What is the derivative of 8x^1/4

• y' = 2/x^3/4

• y' = 2/x^1/4

• y' = 32x^3/4

• y' = 1/2x^1/4

What is the derivative of f(x) = 5e^x - 10x + 6

• f'(x) = 5e^x - 10 + 6

• f'(x) = 5e^x - 10

• f(x) = 5e^5x - 10

• f(x) = 5e^x - 16

Find y' for y = 5sinx - 10cosx

• y' = -5cosx - 10sinx

• y' = 10sinx - 5cosx

• y' = 10sinx + 5cosx

• y' = 5cosx - 10sinx

Tags

CCSS.HSF.TF.C.9

Find the derivative of y = (4x³ - 10x² + x)/x

• y' = 4x² - 10x + 1

• y' = (12x² - 20x + 1)/1

• y' = (12x² - 20x + 1)/x

• y' = 8x - 10