✓ 2 MARKS
Derivations
🔥 APPEARED IN 3 BOARD SETS
(a) Differentiate $x^x$ with respect to $x \log x$. OR (b) If $y = P \cos ux + Q \sin ux$, show that $\frac{d^2y}{dx^2} + u^2y = 0$.
01 // VERIFIED BOARD OCCURRENCES
| Year | Paper Code | Set | Position |
|---|---|---|---|
| CBSE 2026 | Series 65-5 | Set 1 | Question 22 |
| CBSE 2026 | Series 65-5 | Set 2 | Question 25 |
| CBSE 2026 | Series 65-5 | Set 3 | Question 24 |
02 // OFFICIAL CBSE MARKING SCHEME BREAKDOWN
- Step 1: Stating the fundamental formula / law statement (+1 Mark)
- Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
- Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)