Review For Test #1- Limits and Intro to Derivatives

Find the derivative of the given equation
f(x) = x⁴ + 4x³ - 2x²

• x³ + x² - x
• 4x³ + 12x² + 4x
• 4x + 12x - 4x
• 4x³ + 12x² - 4x

Tags

CCSS.HSA.APR.A.1

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

Find the limit of the function as x approaches 2⁺.

• 1
• -1
• 5
• DNE

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The slope of the tangent line is...

• the slope of the normal line
• the original graph
• the reciprocal of the graph of f(x)
• the derivative

For a function,

 $f\left(x\right)$  to be continuous at a point  $x=c$  , which of the following conditions must be met:

i.  $\lim_{x\rightarrow c}f\left(x\right)$ must exist

ii.  $f\left(c\right)$ must be defined  

iii.  $\lim_{x\rightarrow c}f\left(x\right)=f\left(c\right)$  

• i only

• i and ii only

• iii only

• i, ii, and iii

What is the limits of the function when x approching a?

• Undefined

• 2

• Does not exist

Tags

CCSS.HSF.IF.A.2

Which of the following is true?

• 
• 
• 
• 

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

Evaluate the limit

• a
• b
• c
• d

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Evaluate the limit

• a
• b
• c
• d

Evaluate the limit

• a
• b
• c
• d