Derivatives Product Rule, Quotient Rule & Chain Rule

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

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)

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

• f'(x)
• y'
• dy
• dy/dx

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

Tags

CCSS.HSA.APR.D.6

• 12x⁴ +3x²

• 20x⁴ +3x² +16x

• 3x⁵ +32x³ +6x² +8x

• 24x³

Tags

CCSS.7.EE.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

What is the Product Rule

• uv' + vu'
• uv' - vu'
• uv - v'u'
• v'u' - vu

Tags

CCSS.7.EE.A.1

What is the quotient rule?

• (vu' - uv')/v²

• (uv' - vu')/v²

• (vu' - uv')/u²

• (uu' - vv')/v²