If 3 sin(x y) + 4cos (x y) = 5, then dy/dx = A. -y/x B.(3sin(xy)+4cos(xy))/(3cos(xy) - 4 sin(xy))

Question

If 3 sin(x y) + 4cos (x y) = 5, then \(\cfrac{dy}{d\mathrm x} \) =

A. \(-\cfrac{y}{\text x}\)

B.\(\cfrac{3\,sin(\text xy)+4cos(\text xy)}{3\,cos(\text xy)-4sin(\text xy)}\)

C. \(\cfrac{3\,cos(\text xy)+4sin(\text xy)}{4\,cos(\text xy)-3sin(\text xy)}\)

D. none of these

Answer 1

Correct option is A. \(-\cfrac{y}{\text x}\)

3 sin(xy) + 4cos (xy) = 5

Differentiating w.r.t x we get,