NUST NET Mathematics — Differentiation
Differentiation is part of the FSc Mathematics course that NUST NET-Engineering draws on (Mathematics is 100 of the 200 MCQs). It breaks into 6 subtopics, and we hold 195 NET-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (6)
How Differentiation is tested
Across the 8 NET-pattern papers on ParhaiKrlo, Differentiation accounts for 77 questions. It appears in all 8, about 9.6 questions a paper. The heaviest was NUST NET Past Paper 04, with 11 questions, and the most recent is NUST NET Past Paper 07, with 10.
| Paper | Questions |
|---|---|
| NUST NET Past Paper 07 | 10 |
| NUST NET Past Paper 08 | 10 |
| NUST NET Past Paper 05 | 10 |
| NUST NET Past Paper 06 | 9 |
| NUST NET Past Paper 03 | 9 |
| NUST NET Past Paper 04 | 11 |
| NUST NET Past Paper 01 | 9 |
| NUST NET Past Paper 02 | 9 |
Differentiation MCQs from the NET-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · NUST NET Past Paper 07 · Differentiation
The derivative of x³ sin x with respect to x is:
- A.3x² cos x
- B.3x² sin x + x³ cos x
- C.3x² sin x − x³ cos x
- D.x³ cos x
Show answer
Answer: B. 3x² sin x + x³ cos x — Product rule: (x³)′ sin x + x³ (sin x)′ = 3x² sin x + x³ cos x.
- Q2 · NUST NET Past Paper 08 · Differentiation
The derivative of eˣ sin x with respect to x is:
- A.eˣ cos x
- B.eˣ(sin x + cos x)
- C.eˣ(sin x − cos x)
- D.eˣ sin x
Show answer
Answer: B. eˣ(sin x + cos x) — Product rule: eˣ sin x + eˣ cos x = eˣ(sin x + cos x).
- Q3 · NUST NET Past Paper 05 · Differentiation
The derivative of x²eˣ with respect to x is:
- A.2x eˣ
- B.eˣ(x² + 2x)
- C.x² eˣ
- D.eˣ(2x − x²)
Show answer
Answer: B. eˣ(x² + 2x) — Product rule: 2x eˣ + x² eˣ = eˣ(x² + 2x).