Power Rule Practice

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

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

• 3x² + 2x

• 3x + 2x 

• 3x + 2x + 3

• x³ + x² 

What is the derivative of xⁿ?

• (n-1)xⁿ

• nxⁿ⁺¹

• (n+1)x^n-1

• nx^n-1

Simplify (2x⁴y⁷)³

• 6x⁷y¹⁰

• 6xy³²

• 8x¹²y²¹

Find f '(2)  if
f(x) = x² + 2x

• 2x + 2

• 6

• 12

• 2x

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 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

Differentiate y= 12x^-2

• 24x^-1

• -24x^-3

• -24x^-1

• 6x^-3

What is the derivative of ax?

• a

• x

• 1

• 0