Continuity and Differentiability Question - CBSE

Question

Derivative of $\cos(\sqrt{x})$ with respect to $x$ is:
(a) $-\dfrac{\sin(\sqrt{x})}{2\sqrt{x}}$
(b) $\dfrac{\sin(\sqrt{x})}{2\sqrt{x}}$
(c) $-\sin(\sqrt{x})$
(d) $-\dfrac{\cos(\sqrt{x})}{2\sqrt{x}}$

Accepted Answer

$-\sin(\sqrt{x}) \cdot \dfrac{1}{2\sqrt{x}} = -\dfrac{\sin(\sqrt{x})}{2\sqrt{x}}$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating derivative $= -\sin(\sqrt{x})/(2\sqrt{x})$: 1.0 Mark

Question:

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