Derivative review

Find the derivative of f(x) = 5x⁴

• f'(x) = 20x⁴

• f'(x) = 15x³

• f'(x) = 20x³

• f'(x) = 5x³

• a

• b

• c

• d

• a

• b

• c

• d

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 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

• a

• b

• c

• d

Which of the following is an equation for the tangent line to f(x) = 9 - x² at x = 2?

• y = 1/4x + 9/2

• y = -4x + 13

• y = -4x - 3

• y = 4x - 3

Which of the following is an equation of the normal line to the graph of f(x) = 2/x at x = 1?

• y = 1/2x + 3/2

• y = -1/2x

• y = 1/2x + 2

• y = -1/2x + 2

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

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

 $\frac{d}{dx}\left[\sin\left(x^3-2x\right)\right]=$  

•  $\left(3x^2-2\right)\cos\left(x^3-2x\right)$  
  

•  $-\left(3x^2-2\right)\cos\left(x^3-2x\right)$  

•  $\cos\left(3x^2-2\right)$  

•  $\sin\left(3x^2-2\right)$