Question

If $ax+b{y}^2=\cos y$, find $\frac{dy}{dx}$.

Answer 1

$ax+b{y}^2=\cos y$
Differentiating w.r.t $x$
$a+b^{2}y\frac{dy}{dx}=(-\sin y\frac{dy}{dx})$
$\frac{dy}{dx}=\frac{-a}{(2by+\sin y)}$