Find the derivative of f(x)=x23⋅cos(x)f(x) = \sqrt[3]{x^2} \cdot \cos(x)f(x)=3x2⋅cos(x).
23x−1/3cos(x)−x2/3sin(x)\frac{2}{3}x^{-1/3} \cos(x) - x^{2/3} \sin(x)32x−1/3cos(x)−x2/3sin(x)
23x1/3cos(x)+x2/3sin(x)\frac{2}{3}x^{1/3} \cos(x) + x^{2/3} \sin(x)32x1/3cos(x)+x2/3sin(x)
x−1/3cos(x)−x2/3sin(x)x^{-1/3} \cos(x) - x^{2/3} \sin(x)x−1/3cos(x)−x2/3sin(x)
23x−1/3cos(x)+x2/3sin(x)\frac{2}{3}x^{-1/3} \cos(x) + x^{2/3} \sin(x)32x−1/3cos(x)+x2/3sin(x)