Derivatives Review Combo

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

• -2x² - x + 9
• -2x² + x + 9
• 2x² - x + 9
• 2x² - x - 9

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x
• f ''(x) = 2 - 30x⁵
• f ''(x) = -30x⁵
• f ''(x) = -150x⁴

Set up the derivative of y=(3x⁴ - 7)(5x² + 1)

• (12x³)(10x)
• (3x⁴ - 7)(10x) + (12x³)(5x² + 1)
• (3x⁴ - 7)(10x) - (12x³)(5x² + 1)
• (3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)

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

• 6x³ - 8x²
• 18x² - 16x
• 15x² - 6x
• 6x - 4

Differentiate f(x) =(2/x⁵) - 5.

• x⁵ - 3
• -10x⁶ 
• x⁵ - 5
• -10/x⁶ 

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

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

Find the derivative.

• x⁴ cosx - 4x³sinx
• x⁴ cosx + 4x³sinx
• 4x³cosx
• -4x³cosx

Find the derivative f(x) = xe^x 

• f'(x) = e^x
• f'(x) = xe^x + xe^x
• f'(x) = e^x - xe^x
• f'(x) = e^x + xe^x

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• (3x²-2)cos(x³-2x)
• -(3x²-2)cos(x³-2x)
• cos(2x²-2)
• sin(2x²-2)

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

• 9x²+2
• 3(x²+2)/(x²+2)²
• (-3x²+4x+6)/(x²+2)²
• (-3x²+10)/(x²+2)²