If y={\Tan}^{-1} (\frac{2-3 \sin x}{3-2 \sin x}) then \frac{d y}{d x}= [AP EAPCET 18 May 2024 Shift 1]

Correct Answer is : −5cosx13sin2x−24sinx+13

\frac{(3-2 \sin x)^2}{13 \sin ^2 x-24 \sin x+13}

\frac{-5 \cos x}{13 \sin ^2 x-24 \sin x+13}

\frac{5 \sin x}{13 \sin ^2 x-24 \sin x+13}

\frac{-5 \sin x}{13 \sin ^2 x-24 \sin x+13}

Differentiation

Section: Mathematics

Question : 32 of 34

Marks: +1, -0

If y=Tan−1(‌

2−3‌sin‌x

3−2‌sin‌x

) then ‌

[AP EAPCET 18 May 2024 Shift 1]

Go to Question:

Prev Question

Next Question