Power Rule Quiz

FInd the derivative:

f(x) = (-2/3)x³ - (1/2)x² + 9x

• f'(x) = -2x² - x + 9

• f'(x) = -2x² + x + 9

• f'(x) = 2x² - x + 9

• f'(x) = 2x² - x - 9

Find the derivative of y = 2x² (3x - 4)

• y' = 6x³ - 8x²

• y' = 18x² - 16x

• y' = 15x² - 6x

• y' = 6x - 4

Find the derivative of the given equation

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 g(x)=(3x-2)/(x²+2)

• g'(x) = 9x²+2

• g'(x) = 3(x²+2)/(x²+2)²

• g'(x) = (-3x²+4x +6)/(x²+2)²

• g'(x) = (-3x²+10)/(x²+2)²

Find the second derivative of the function:

f (x) = (3x² + 2x + 4)(6x² - x + 6)

• f''(x) = 72x³ + 27x² + 80x + 8

• f''(x) = 216x³ + 54x² - 80x - 8

• f''(x) = 72x² + 27x - 80

• f''(x) = 216x² + 54x + 80

Find the derivative of the given equation

f(x) = 7

• f'(x) = 7

• f'(x) = 0

• f'(x) = 7x

• f'(x) = 14

Find the derivative of the given equation

f(x) = -4x

• f'(x) = 4

• f'(x) = x

• f'(x) = -4

• f'(x) = 0

Find the derivative of the given equation

f(x) = 1 - x²

• f'(x) = 1 - 2x

• f'(x) = -2x

• f'(x) = -2

• f'(x) = -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 the derivative

• y = 2 / x

• y= 2 / x²

• y= −2 / x²

• y= −2 / x