Allied & ICAR Exam Bank • ALLIED_0035 NAT • 1 Mark

Section 1: Engineering Mathematics

Calculus

Subtopic: Limit, continuity and differentiability

Question Statement:

The derivative of $f(x) = \ln(x^2 + 1)$ evaluated at $x = 1$ is:

Answer Key:

1

Step-by-Step Solution & Explanation

$f'(x) = \frac{2x}{x^2 + 1}$. At $x = 1$, $f'(1) = \frac{2(1)}{1 + 1} = 1$.
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