If $y=\cos ^{-1}\left(\frac{3 \cos x+4 \sin x}{5}\right)$, then $\frac{d y}{d x}=$ ?

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

y=\cos ^{-1}\left(\frac{3 \cos x+4 \sin x}{5}\right)

, then

\frac{d y}{d x}=

View answer and explanation

Correct option: B

Option B (1) is correct because the expression inside the inverse cosine simplifies to a cosine function, allowing for direct differentiation.

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