9/7- AB Calculus

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Which option is using correctly the quotient rule?

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Use the product rule to find the derivative. $f\left(x\right)\ =\ -x^3\left(3x^4-2\right)$  

•  $-3x^2+12x^3$  

•  $-21x^3+6x$  

•  $-21x^6+6x^2$  

•  $-84x^6-6x^2$  

 $\frac{\text{d}}{\text{d}x}\left[x^2\left(x+1\right)\left(2x-3\right)\right]$  

•  $8x^3-3x^2-6x$  

•  $8x^3+3x^2-6x$  

•  $8x^3-3x^2+6x$  

•  $8x^3+3x^2+6x$  

Find the derivative.

• 8x⁴ -60x²

• 16x⁴

• (8x⁴ -60x²)/(2x²-5)²

• 3x

Find y'.

 $y=\frac{x+2}{x-3}$  

•  $y'=-\frac{1}{(x-3)^2}$  

•  $y'=-\frac{5}{(x-3)^2}$  

•  $y'=\frac{2x-5}{(x-3)^2}$  

•  $y'=\frac{2x-1}{(x-3)^2}$  

Tags

CCSS.HSF-IF.C.7D

Given n(x) =f (x)g(x) , find n'(4)

• -5/8
• 11/8
• 19/8
• -29/8

Find h'(3)

• -2
• 0
• 1
• 3

Find the derivative of f(x) = x²sinx

• f'(x) = 2xsinx - x²cosx
• f'(x) = 2xsinx + x²sinx
• f'(x) = 2xsinx + x²cosx
• f'(x) = 2xcosx