Derivatives Practice

Find  $\frac{d}{dx}\left[h\left(x\right)g\left(x\right)\right]$  at  $x=-1$  

• 14

• 5

• -5

• -11

If  $F\left(x\right)=\frac{f\left(x\right)}{g\left(x\right)}$  find  $F'\left(0\right)$  

• -2.5

• 2.5

• 0

• DNE

Find the derivative of  f(x) = (x⁶ + 4)⁵

• f '(x) = 5x⁵(x⁴ + 4)⁴
• f '(x) = 6x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁶(x⁶ + 4)⁴

• A

• B

• C

• D

find y' for y= sin(2x²)

• 4sin(2x²)

• 4xcos(2x²)

• 2xcos(2x²)

• xcos(4x²)

Differentiate:
f(x) = x⁷ (5 + 8x)³

• f '(x) = x² (5 + 8x)⁶ (35 + 80x)
• f '(x) = x⁶ (5 + 8x)² (35 + 80x)
• f '(x) = 8x⁷ (5 + 8x)² (35 + 80x)
• f '(x) = x⁶ (5 + 8x)³ (35 + 80x)

 $\frac{\text{d}}{\text{d}x}\left[x^2\cdot\sin\left(x\right)\right]$  

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

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

•  $x^2\sin\left(x\right)+2x\cos\left(x\right)$  

•  $x^2\cos\left(x\right)+2x\sin\left(x\right)$  

• 8x⁴ -60x²
• 16x⁴
• (8x⁴ -60x²)/(2x²-5)²
• 3x

Tags

CCSS.HSA.APR.D.6

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Given that f(x) = 3x³ - x - 1, find f'(2)

• 35
• 18
• 17
• 12

Tags

CCSS.HSF.IF.A.2