Question

Question #0e5c1

Answer 1

`dy/dx=(2x)/((cosy+1))`

Explanation:

`y+siny=x^2`

Use implicit differentiation with respect to `x` on both sides of the equation:

`D(y+siny)=D(x^2)`

`:.dy/dx+cosy.dy/dx=2x`

`:.dy/dx(cosy+1)=2x`

`:.dy/dx=(2x)/((cosy+1))`