Question: If x.e<sup>xy</sup> – y = sin<sup>2</sup>x then $\frac{dy}{dx}$ at x = 0 is...

Question

If x.e^xy – y = sin²x then $\frac{dy}{dx}$ at x = 0 is

Answer 1

x.e^xy – y = sin²x when x = 0, then y = 0

$\frac{dy}{dx} = - \left( \frac{x.ye^{xy} + e^{xy} - 2\sin x\cos x}{x^{2}.e^{xy} - 1} \right) \Rightarrow \frac{dy}{dx}_{(0,0)}$ = 1

Question: If x.e<sup>xy</sup> – y = sin<sup>2</sup>x then \(\frac{dy}{dx}\) at x = 0 is...