Question

Consider the curve defined by the equation of y+cosy=x+1 for0. Find dy/dx in terms of y.

Answer 1

To find dy/dx in terms of y for the given equation, we differentiate both sides of the equation using implicit differentiation.

Step-by-step explanation:

To find dy/dx in terms of y for the curve defined by the equation y + cos(y) = x+1, we need to differentiate both sides of the equation with respect to x using implicit differentiation.

Starting with y + cos(y) = x+1, differentiate both sides:

1 + (-sin(y)) * (dy/dx) = 1

Simplifying the equation, we get:

dy/dx = sin(y)