Power Rule Practice

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

• f'(x) = 7
• f'(x) = 0
• f'(x) = 7x
• f'(x) = 14

What is the derivative of xⁿ?

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

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

• f'(x) = 3x² + 2x
• f'(x) = 3x + 2x 
• f'(x) = 3x + 2x + 3
• f'(x) = x³ + x² 

Find f '(2)  if
f(x) = x² + 2x

• 2x + 2
• 6
• 12
• 2x

Tags

CCSS.HSF.IF.A.2

Find the derivative of the given function
f(x) = 1 - x²

• f'(x) = 1 - 2x
• f'(x) = -2x
• f'(x) = -2
• f'(x) = -1

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

• f'(x) = x³ + x² - x
• f'(x) = 4x³ + 12x² + 4x
• f'(x) = 4x + 12x - 4x
• f'(x) = 4x³ + 12x² - 4x

The derivative of a function is its

• y-intercept
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator

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 derivative of y=5x⁴

• (5x³)/4
• 20x⁴
• 20x³
• x⁵

Find the derivative of f(x) = 6x³⁰ -2x¹⁵ + 4x³ - 2x + 1

• f'(x) = 18x²⁹ + 30x¹⁵ + 12x³ 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² - 2
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² +1

Tags

CCSS.HSA.APR.A.1