Review for Q1 Quarterly

Find the limit of the function as x approaches 2.

• 1
• -1
• 5
• DNE

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing
• The concavity of the function is up
• The concavity of the function is down

Tags

CCSS.HSF.IF.B.4

The acceleration function is the first derivative of...

• position
• velocity
• calculus
• particle motion

The image displays the ______

• Limit definition of the first derivative

• The bane of my existance

If f'(x) = 0 what does that imply about the x value?

• It is a critical point, it is a possible max, min, or point of inflection.

• That the limit does not exist.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the derivative.

• x⁴ cosx - 4x³sinx
• x⁴ cosx + 4x³sinx
• 4x³cosx
• -4x³cosx

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

Find the derivative:
y=e^5x

• y'=e^5x
• y'=5e^5x
• y'=5e^x
• y'=(1/5)e^5x

Tags

CCSS.HSF-IF.C.8B

Find the derivative:
y=5x²e^3x

• y'=10xe^3x(2x+3)
• y'=5xe^3x(3x+2)
• y'=10ex^3x(3x+2)
• y'=5xe^3x(2x+3)

What is the limit?

• DNE
• Infinity
• 6
• 12

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.APR.B.3

Evaluate

• -7
• 0
• 1
• DNE