MTH101 Final Term Quiz Spring 2026

MTH101 FINALTERM LATEST QUIZ SPRING 2026

Q1. What is the derivative of ln⁡(𝑥)?

1. 1/𝑥
2. 𝑥
3. 1/𝑥 2
4. ln⁡(𝑥)
5. 𝑢′
6. 1/𝑢

Q5. Taking the natural logarithm of both sides before differentiating is called:

1. Implicit differentiation
2. Logarithmic differentiation
3. Chain rule
4. Power rule

Correct answer: Logarithmic differentiation

Q6. Related rates problems study how one quantity changes with respect to:

1. Its square
2. Another quantity (usually time)
3. The origin
4. A constant
5. Zero
6. Negative
7. Positive
8. Undefined
9. Positive
10. Negative
11. Zero
12. One
13. Concave down
14. Concave up
15. Linear
16. Decreasing
17. Inflection points
18. Critical points
19. Stationary points only
20. Endpoints

Q11. The First Derivative Test is used to determine:

1. Concavity
2. Relative maxima and minima
3. Intercepts
4. Domain

Correct answer: Relative maxima and minima

Q12. An inflection point occurs where the ________ changes.

1. Slope
2. Concavity
3. Function value
4. Interval

Correct answer: Concavity

Q13. In optimization, finding the largest value means finding the:

1. Absolute minimum
2. Absolute maximum
3. Zero
4. Inflection point

Correct answer: Absolute maximum

Q14. A rectangle with fixed perimeter has maximum area when it is a:

1. Triangle
2. Circle
3. Square
4. Trapezoid

Correct answer: Square

Q15. Newton’s Method is used to:

1. Find area
2. Approximate real roots of equations
3. Calculate limits
4. Prove theorems

Correct answer: Approximate real roots of equations

16. Rolle’s Theorem requires:

17. Mean Value Theorem states that:

Q18. Finding a function from its derivative is called:

1. Differentiation
2. Integration
3. Limits
4. Summation

Correct answer: Integration

Q19. The constant 𝐶in integration represents:

1. Speed of light