Differentiation (Product Quotient & Chain Rule)

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

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

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

 $x^2\left(-3x^2-2\right)$  

•  $-6x^3-4x$  

•  $-12x^3-4x$  

•  $12x^3+4x$  

•  $-36x^2-4$  

Tags

CCSS.HSA.APR.A.1

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

Tags

CCSS.HSF-IF.C.7D

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

Find the derivative
f(t) = (t² + 2t)⁵

• f'(t) = 5(2t+2)⁴
• f'(t) = 5(t² + 2t)⁴
•  f'(t) = 5(t² + 2t)⁴(2t)
• f'(t) = 5(t² + 2t)⁴(2t + 2)

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

Tags

CCSS.HSA.APR.A.1

Derivative means the same thing as

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

Which rule would you need to use?

• Power Rule
• Product Rule
• Quotient Rule
• Chain Rule

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