QUIZ DERIVATIVE SECTION 2.2

Find  $f'\left(x\right)$  if  $f\left(x\right)=\frac{5}{x^2}$  

• 5x

•  $\frac{5}{2x}$  

• 5x^-2

•  $-\frac{10}{x^3}$  

What is the equation of the line tangent to f(x)=x⁴-2x at the point x=-1?

• y=-6x-3
• y=-6x+3
• y=2x+5
• y=2x+3

Find the slope of the tangent line to f(x) = -3x²-6x at x = 1.

• m = 0
• f'(x) = -6x - 6
• f'(x) = 6x
• m = -12

Which option shows the derivate?

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FInd the derivative:
f(x) = (-2/3)x³ - (1/2)x² + 9x

• -2x² - x + 9
• -2x² + x + 9
• 2x² - x + 9
• 2x² - x - 9

Tags

CCSS.HSA.APR.A.1

f(x)= 9/∛x
f'(x) =

• 9x^-1/3
• -3x^-4/3
• -9x^2/3
• -3x^2/3

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

CCSS.HSN.RN.A.2

• A
• B
• C
• D

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Which option shows the same expression?

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• 

Tags

CCSS.6.EE.A.4

Which option shows the derivative?

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• 
• 
• 

 $\frac{\text{d}}{\text{d}x}\left(\cos x\right)=$  

•  $\cos x$  

•  $-\sin x$  

•  $-\cos x$  

•  $\sin x$