Product & Quotient Rule

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)

Tags

CCSS.HSA.APR.A.1

Find the derivative f(x) = x²e^x

• f'(x) = 2xe^x

• f'(x) = 2xe^x + e^x

• f'(x) = x²e^x - 2xe^x

• f'(x) = x²e^x + 2xe^x

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

Find g'(3) given that f(3) = -2 , f'(3) = 4, and  $g\left(x\right)=3x^2-\left[x\cdot f\left(x\right)\right]$  

• 14

• 8

• 24

• 32

Find $\frac{d^4}{dx^4}\left[x^{-3}\right]$  at x= -1

• 3

• -12

• 60

• -360