Power Rule

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Tags

CCSS.HSA.APR.A.1

Find the slope of f(x) = -3x²-6x at x = 1.

• m = 0
• f'(x) = -6x - 6
• f'(x) = 6x
• m = -12

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

Differentiate y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

The derivative of 

• y'=2x-x^-2
• y'=x^-1+8x
• y'=x^-2+8x
• y=8x-x^-2

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

f(x)= 9/∛x
f'(x) =

• 9x^-1/3
• -3x^-4/3
• -9x^2/3
• -3x^2/3

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

Find f '(2)  if
f(x) = x² + 2x

• 2x + 2
• 6
• 12
• 2x

Tags

CCSS.HSF.IF.A.2

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 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