Question
If [4] y =x+ x^2+4 , then what is x^2+4 \, dy dx equal to ?
NDA
Mathematics
Differentiation
2026
NDA 2026 (Phase 1)
NDA Mathematics Question (2026) — Solution
Options
- A. y 4
- B. y
- C. 2y
- D. 4y
Answer
D. 4y
Step-by-step solution
Given y^ 1/4 = x + x^2+4 Differentiating both sides with respect to x: 1 4 y^ -3/4 dy dx = 1 + 1 2 x^2+4 (2x) 1 4 y^ -3/4 dy dx = 1 + x x^2+4 1 4 y^ -3/4 dy dx = x^2+4 + x x^2+4 Substituting x + x^2+4 = y^ 1/4 : 1 4 y^ -3/4 dy dx = y^ 1/4 x^2+4 x^2+4 dy dx = 4 y^ 1/4 y^ 3/4 x^2+4 dy dx = 4y Answer: 4y
Related: Mathematics — Differentiation · All PYQ Banks