Derivative Quiz #2

Which of the following are synonyms for find the derivative?

• f'(x)

• dy/dx

• y'

• slope of the tangent line

• instantaneous rate of change

Given u(x) = f(x)g(x), f(2) = 3, g(2) = -3, f '(2) = 5, and g'(2) = 1,

then u'(2) = ?

• -12

• 4

• 5

• 12

Find the derivative. f(x) = $-8x-3\ +5x\ -e^x$  

Find the derivative f(x) = xe^x 

• f'(x) = e^x
• f'(x) = xe^x + xe^x
• f'(x) = e^x - xe^x
• f'(x) = e^x + xe^x

Set up the derivative of

y=(3x⁴ - 7)(5x² + 1)

• y' = (12x³)(10x)

• y' = (3x⁴ - 7)(10x) + (12x³)(5x² + 1)

• y' = (3x⁴ - 7)(10x) - (12x³)(5x² + 1)

• y' = (3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)

What is the derivative of    $y=\left(3x^{ }-7\right)\left(5x^2+1\right)?$  

.

• Only the Power Rule

• The Quotient & the Power Rules

• Only the Quotient Rule

• The Product & Quotient Rules

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

Tags

CCSS.HSF-IF.C.7D

Find the derivative of

f(x) = x² + e^x - cosx

• f'(x) = 2 + e^x + cosx

• f'(x) = 2x + e^x + cosx

• f'(x) = 2x + xe^x - cosx

• f'(x) = 2x + e^x + sinx