1003112011

SubArea: 
Derivative
Level: 
B
Project ID: 
1003112011
Accepted: 
1
Differentiate the following function: \[ f(x)=\frac{x-5\sqrt[3]{x^2}}{\sqrt[3]x} \]
\( f'(x)=\frac{2\sqrt[3]{x^2}-5\sqrt[3] x}{3x}\text{, }x\in\mathbb{R}\setminus\{0\} \)
\( f'(x)=\frac{2\sqrt[3]{x^2}-5\sqrt[3]x }{3}\text{, }x\in\mathbb{R}\setminus\{0\} \)
\( f'(x)=\frac{2\sqrt[3]x-5\sqrt[3]{x^2}}{3x}\text{, }x\in\mathbb{R}\setminus\{0\} \)
\( f'(x)=\frac{\sqrt[3]x}{3x}-5\text{, }x\in\mathbb{R}\setminus\{0\} \)