Differentiation Product and Quotient Rule

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

• 14

• 5

• -5

• -11

If  $F\left(x\right)=h\left(x\right)f\left(x\right)$  find  $F'\left(0\right)$  

• 4

• -2

• 5

• 2

If  $F\left(x\right)=g\left(x\right)h\left(x\right)$  find  $F'\left(3\right)$  

• -38/3

• -42/3

• 38/3

• 34/3

Tags

CCSS.HSF-BF.A.1B

If  $F\left(x\right)=\frac{h\left(x\right)}{g\left(x\right)}$  find  $F'\left(-1\right)$  

• -11/16

• -5/16

• 11/16

• 5/16

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

at  $x=3$  find  $\frac{d}{dx}\left[\frac{h\left(x\right)}{f\left(x\right)}\right]$  

• 46/50

• 17/50

• 17/20

• -17/20

Find the slope of f(x) = -3x²-6x at x = 1.

• m = 0
• f'(x) = -6x - 6
• f'(x) = 6x
• m = -12

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

Tags

CCSS.HSF-IF.C.7D

What is the equation of the line tangent to the curve y = -x² + 3 at (1, 2)?

• y = 2x - 4

• y = -2x - 4

• y = -2x + 4

• y = 2x + 4

Tags

CCSS.HSA.REI.C.7

CCSS.HSG.GPE.B.5

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