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Calculus

Differentiation, Derivatives

jee_main_2026_april_2_shift_1

Grade 12

Question:

If f(x) = x^3 - 3x^2 + 2x + 1, then f'(1) is:

A. -1

B. 0

C. 1

D. 2

Step-by-Step Solution

Key Concept: Find the derivative and substitute x = 1.

Step 1: f'(x) = 3x^2 - 6x + 2. Step 2: f'(1) = 3(1)^2 - 6(1) + 2 = 3 - 6 + 2 = -1.

Correct Answer: A

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