Answer:
dy/dx = cos(x)
Explanation:
Differentiate both sides of the equation. d d x ( y ) = d d x ( sin ( x ) ) The derivative of y with respect to x is y ' . y ' The derivative of sin ( x ) with respect to x is cos ( x ) . cos ( x ) Reform the equation by setting the left side equal to the right side. y ' = cos ( x ) Replace y ' with d y d x . d y d x = cos ( x )