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)

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