Power, Product, Quotient Rule

Simplify the expression. 
(6x²)(-3x⁵)

• 18x⁷
• -18x⁷
• 18x⁷
• 3x⁷

Simplify (c⁵)(c³)(c³)

• c⁴⁵
• 3c¹¹
• c¹¹
• 3c⁴⁵

Tags

CCSS.HSA.APR.A.1

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

• 12x⁴ +3x²
• 20x⁴ +3x² +16
• 3x⁵ +32x³ +6x² +8x
• 24x³

Tags

CCSS.HSA.APR.A.1

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

Tags

CCSS.HSF-IF.C.7D

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

• f'(x)
• y'
• dy
• dy/dx

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

• -20x⁶ + 10x
• -70x⁶ + 30x⁴ + 10x
• 5x² + 10x - 3
• -10x⁷ - 94x⁵ + 5x² - 3

Tags

CCSS.HSA.APR.A.1

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14