Find the derivative of f(x)=x2+13⋅sin(x)f(x) = \sqrt[3]{x^2+1} \cdot \sin(x)f(x)=3x2+1⋅sin(x).
2xsinx3(x2+1)2/3+(x2+1)1/3cosx\frac{2x \sin x}{3(x^2+1)^{2/3}} + (x^2+1)^{1/3} \cos x3(x2+1)2/32xsinx+(x2+1)1/3cosx
xsinx3(x2+1)2/3+(x2+1)1/3cosx\frac{x \sin x}{3(x^2+1)^{2/3}} + (x^2+1)^{1/3} \cos x3(x2+1)2/3xsinx+(x2+1)1/3cosx
2xcosx3(x2+1)2/3+(x2+1)1/3sinx\frac{2x \cos x}{3(x^2+1)^{2/3}} + (x^2+1)^{1/3} \sin x3(x2+1)2/32xcosx+(x2+1)1/3sinx
2xsinx3(x2+1)+(x2+1)1/3cosx\frac{2x \sin x}{3(x^2+1)} + (x^2+1)^{1/3} \cos x3(x2+1)2xsinx+(x2+1)1/3cosx