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CBSE Class 12 · 2019 · DifferentiationShort Answer

If

y = cos (3 x)

, then find

\frac{d y}{d x}

.

Answer: $- \frac{3 sin 3 x}{2 3 x}$

Solution

Apply the chain rule to

y = cos (3 x)

, differentiating the cosine and then the inner function

3 x

.

\frac{d y}{d x} = - sin (3 x) \cdot \frac{d}{d x} (3 x) = - sin (3 x) \cdot \frac{3}{2 3 x}

\frac{d y}{d x} = - \frac{3 sin ( 3 x )}{2 3 x}

CBSE Class 12 Board · 2019 · Subjective

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