Product and Quotient Rule Lesson

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

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

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

Quotient Rule with respect to the derivative.  f/g

• (gf'-fg')/g^2
• (gf'+fg')/g^2
• (fg'-gf')/f^2

• 4x²+8x+1
• 20x⁶+5x⁴
• 28x⁶+5x⁴-16x

Tags

CCSS.HSA.APR.A.1

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

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 u = fg, f(2) = 3, g(2) = -3, f '(2) = 5, and g'(2) = 1,
then u'(2) = ?

• -12
• 4
• 5
• 12

Tags

CCSS.HSF-BF.A.1B

Which if the following is not a correct notation for 'derivative?'

• f'(x)
• y'
• dy
• dy/dx