What is $\frac{dy}{dx}$ for the following equations involving $x$ and $y$: $\sin ^2x+\cos^2y=\pi$
Answer & explanation
Correct answer: option 4
$\sin^2x+\sin^y=π$
differentiating wrt x
$2\sin x\cos x+2\sin y\cos y\frac{dy}{dx}=0$
$⇒\frac{dy}{dx}=\frac{-\sin 2x}{\cos 2y}$