Unit 2 Test 1 Review

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Differentiate y =  $\frac{12}{x^2}$  

• y' = 24x^-1

• y' = -24x^-3

• y' = -24x^-1

• y' = 6x^-3

Find the derivative of f(x) = x²sinx

• f'(x) = 2xsinx - x²cosx
• f'(x) = 2xsinx + x²sinx
• f'(x) = 2xsinx + x²cosx
• f'(x) = 2xcosx

Tags

CCSS.HSA.SSE.B.3

• 8x⁴ -60x²

• 16x⁴

• $\frac{8x^4-60x^2}{(2x^2-5)^2}$
  

• 3x

Which option is using correctly the quotient rule?

• 
• 
• 
• 

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Given h(x) = f (x) + g(x), find h'(1)

• 3
• 2
• 0
• 5

Tags

CCSS.HSF-BF.A.1B

Given n(x) =f (x)g(x) , find n'(4)

• -2

• 11/8
• 19/8
• -29/8

Find h'(3)

• -2
• 0
• 1
• 3

What is f'(x) if f(x) = cos(5x⁴)?

• f'(x) = sin(20x³)
• f'(x) = 20x³ sin(5x⁴)
• f'(x) = -sin(20x³)
• f'(x) = -20x³ sin(5x⁴)

What rule should be used in deriving h(x) = 2(x - 4)³

• Power rule

• Product rule

• Quotient rule

• Chain rule