Question #1702

Find dy/dx by implicit differentiation.

9sin(x) + cos(y) = sin(x) cos(y)

9sin(x) + cos(y) = sin(x) cos(y)

Expert's answer

F(x,y) = 9sin(x) +cos(y) - sin(x)cos(y) =0,

F'_{x }= 9cos(x) - cos(x) cos(y);

F'_{y} = -sin(y) + sin(x) sin(y);

dy/dx = -F'_{x} / F'_{y} = (9cos(x) - cos(x) cos(y)) / (sin(y) - sin(x) sin(y)).

F'

F'

dy/dx = -F'

## Comments

## Leave a comment