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Continuity and Differentiability

Oswaal

CBSE

Grade 12

Question:

The derivative of $\sin(x^2)$ with respect to $x$ is:
(a) $2x \cos(x^2)$
(b) $\cos(x^2)$
(c) $-2x \cos(x^2)$
(d) $x \cos(x^2)$

Step-by-Step Solution

Key Concept: Chain rule: d/dx sin(x^2) = cos(x^2) * 2x.

The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.

Correct Answer: $2x \cos(x^2)$

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