Product and Quotient Rule

Find the derivative of g(x)=(3x-2)/(x²+2)

• 3/(2x)
• (-3x²-4x +6)/(x²+2)²
• (-3x²+4x +6)/(x²+2)²
• (-3x²+10)/(x²+2)²

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• slope of the secant line

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

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

Find the derivative: y=^-1/_x

• -1
• 0
• ^1/x²
• x

Tags

CCSS.HSF-IF.C.8B

Which one is the product rule?

• f(x)g(x)
• f'(x)g(x)-f(x)g'(x)
• f'(x)g(x)+f(x)g'(x)
• f'(x)g'(x)+f'(x)g'(x)

Which one is the quotient rule?

• [f'(x)g(x)-f(x)g'(x)]÷g(x)^2
• [f'(x)g(x)-f(x)g'(x)]
• [f'(x)g(x)-f(x)g'(x)]÷g(x)^4
  
• f(x)g(x)-f(x)g(x)]÷g(x)^2
  

Find the derivative of y = 2x² (3x - 4)

• 6x³ - 8x²
• 18x² - 16x
• 15x² - 6x
• 6x - 4

Find the derivative.
y = x² / (3x-1)

• y' = 9x² - 12
  y' = (3x-1) / (3x-1)²
• y' = (3x² - 2x) / (3x-1)²
• y' = (6x+1)² / 3

Given that y = (x+2)/(x-3), find y'.

• y' = -1/(x-3)²
• y' = -5/(x-3)²
• y' = (2x-5)/(x-3)²
• y' = (2x-1)/(x-3)²

Tags

CCSS.HSF-BF.A.1C

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

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

Tags

CCSS.8.EE.B.5