Calculus
Differentiation, Chain Rule
jee_main_2026_april_4_shift_2
Grade 12
Question:
If y = tan(3x^2 + 2x), find dy/dx at x = 0.
Step-by-Step Solution
Key Concept: Use chain rule: d/dx tan(u) = sec^2 u × du/dx.
Step 1: Let u = 3x^2 + 2x. dy/dx = sec^2 u × du/dx. Step 2: du/dx = 6x + 2. Step 3: At x = 0, u = 0, du/dx = 2, sec^2(0) = 1. Step 4: dy/dx = 1 × 2 = 2.
Correct Answer: B
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