Power Product and Quotient Rule

f(x)= 5/x^{2
f'(x) =} 

• 5x

• 5/2x

• 5x^-2

• -10/x³

Find the derivative.

• x⁴ cosx - 4x³sinx

• x⁴ cosx + 4x³sinx

• 4x³cosx

• -4x³cosx

What is the derivative of f(x) = 2x³ - 4x + 5?

• f'(x) = 6x² - 4x

• f'(x) = 2/3x² - 4x

• f'(x) = 3x² - 4

• f'(x) = 6x² - 4

Find the derivative

• 8x⁴ -60x²

• 16x⁴

• (8x⁴ -60x²)/(2x²-5)²

• 3x

Differentiate

• 4x⁸+60x⁶+12x³

• 12x⁷+36x²

• 32x⁷+36x²

• 20x⁶

Find the derivative of g(x)=(3x-2)/(x²+2)

• 3/(2x)

• (-3x²-4x +6)/(x²+2)²

• (-3x²+4x +6)/(x²+2)²

• (-3x²+10)/(x²+2)²

Given that y = (x+2)/(x-3), find y'.

• y' = -1/(x-3)²

• y' = -5/(x-3)²

• y' = (2x-5)/(x-3)²

• y' = (2x-1)/(x-3)²

What is the quotient rule for the derivative of f = u/v?

• f' = (vu' - uv')/v²

• f' = (uv' - vu')/v²

• f' = (vu' - uv')/u²

• f' = (uv' - vu')/u²

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

• 3x² + 2x

• 3x + 2x 

• 3x + 2x + 3

• x³ + x² 

FInd the derivative:
f(x) = (-2/3)x³ - (1/2)x² + 9x

• -2x² - x + 9

• -2x² + x + 9

• 2x² - x + 9

• 2x² - x - 9