Question

What is the implicit differentiation of xsiny+cos2y=cosy

Answer 1

Try and solve it yourselves, taking help from the step below.
1. differentiate the whole equation with respect to x, taking y as constant. name it 'U'
2. repeat step one but this time differentiate with respect to y taking x as constant. name it as 'V'
3. Dy/Dx = - (U/V)

Answer 2

You need to know a few rules:
(y)'=y'
(x)'=1
(fg)'=f'g+fg'
(cos(x))'=-sin(x)
(sin(x))'=cos(x)
(f(g(x)))'=g'(x) * f '(g(x))

Answer 3

i tried it and i got
-siny + xcos(y) dx/dy - sin (2y) * 2 dy/dx but im so confused on what to do next

Answer 4

Follow my steps..
Assume Y is a constant.. then differentiate for x..
then assume X as constant..
read my reply dude..!

Answer 5

ah i got it. thanks!