Question

Find `(dy)/(dx)` at x = 1, y = `pi/4` if `sin^2 y + cos xy = K`

Answer 1

Consider the differential equation sin²y + cosxy = K

Differentiate the above differential equation with respect to x, to get the value of `(dy)/(dx)`

`=> d/dx (sin^2 y) + d/dx (cos xy) = d/(dx) (K)`