Derivatives Intro

Find the derivative of the given equation
f(x) = x⁴ + 4x³ - 2x²

• x³ + x² - x
• 4x³ + 12x² + 4x
• 4x + 12x - 4x
• 4x³ + 12x² - 4x

Tags

CCSS.HSA.APR.A.1

• 1
• 0
• Infinity
• Does not exist

What is the derivative of y=xⁿ?

• y'=(n+1)xⁿ
• y'=(n-1)xⁿ
• y'=(n)xⁿ⁺¹
• y'=(n)x^n-1

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the derivative. f(x) = -8x^-3 + 5x

• f'(x) = -24x^-4 + 5
• f'(x) = 24x^-4 + 5
• f'(x) = 24x^-2 + 5
• f'(x) = 24x^-4 - 5

Solve f '(2)  for 
f(x) = x² + 2x

• 2x + 2
• 6
• 12
• 2x

Tags

CCSS.HSF.IF.A.2

f(x)= 9/∛x
f'(x) =

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

CCSS.HSN.RN.A.2

find dy/dx

• dy/dx = 2 x^-1

• dy/dx =2 x^-2

• dy/dx= −2x^-2

• dy/dx= −2 x^-1

• 4x⁹ + 6x⁷
• (2/5)x⁹ + (3/4)x⁷
• 20x⁹ + 24x⁷
• x⁹ + x⁷

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

• A
• B
• C
• D

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Given h(x) = f (x) + g(x), find h'(1)

• 3
• 2
• 0
• 5

Tags

CCSS.HSF-BF.A.1B