Differentate sin(x^2+1) with respect to x

y = sin(x²+1) In general, the chain rule is: dy/dx = f(g(x)) = df/dg * dg/dx Applying this to y: dy/dx = d(sin(x²+1))/d(x²+1) * d(x²+1)/dx = cos(x²+1) * (2x) = 2xcos(x²+1)