Calculus AB Final Review (Semester 1)

Find  $\lim_{x\rightarrow4}f\left(x\right)=$  

• 1

• 2

• 3

• DNE

Find the limit of the function as x approaches 2.

• 1
• -1
• 5
• DNE

What is the limit?

• DNE
• Infinity
• 6
• 12

What is the limit?

• DNE
• 2/3
• 1/4
• Infinity

Evaluate 

• -7
• 0
• 1
• DNE

Differentiate f(x) = $\frac{2}{x^5}-4$  

• x⁵-3

• -10x⁶

• x⁵-5

• -10x^-6

Find the derivative.

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

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

The acceleration function is the first derivative of...

• position
• velocity
• calculus
• particle motion

 If (a,b) is a local minimum, then what will be true about f'(a)?

• It's positive
• It's negative
• It's zero
• Cannot be determined