This document contains exercises for differential calculus that involve finding zeroes of functions, evaluating operations on functions, determining continuity and discontinuity, calculating derivatives using rules like the three-step limit rule, product rule and quotient rule, and applying derivatives. The exercises cover topics like inverse functions, limits of functions, and applications of derivatives.

1. Reviewer
Reviewer and exercises for
BSCOE Math 5 Differential
Calculus LPUB

2. Functions and Graphs

3. Zeroes of Functions
Use factor theorem to find the zeroes
of the following function

4. Operations on Functions and
Function Composition
a. Evaluate 𝑓 + 𝑔 (2)
b. Evaluate 𝑓 ⋅ ℎ 3
c. Evaluate ℎ ∘ 𝑔 (2)

5. Inverse function

6. Limit of Functions

7. Continuity and Discontinuity
Determine if the function is continuous or
discontinuous at the indicated point.
If it is discontinuous, state the reason why.
If it is discontinuous state what type of
discontinuity it is.

8. The derivative
Use the three-step rule (limit) to find the
derivative of the function at the indicated
point.

9. Derivative
Find the first derivative
𝑑𝑦
𝑑𝑥
.

10. Product and Quotient Rules
Find the first derivative

11. Applications