Question

if sin x y + cos x Y is equal to 1 and tan(xy) is not equal to 1 then show that dy/dx = -y/x

Answer 1

First, you should know the derivatives for the basic trigonometric functions:

\dfrac{d}{dx}\sin(x)=\cos(x)dxd​sin(x)=cos(x)start fraction, d, divided by, d, x, end fraction, sine, left parenthesis, x, right parenthesis, equals, cosine, left parenthesis, x, right parenthesis