Answer
Rewrite: $2x^{\frac{2}{3}}$ Differentiate: $(2)(\frac{2}{3})(x^{\frac{2}{3}-1})$ Simplify: $\frac{4}{3\sqrt[3] x}$ .
Work Step by Step
Rewrite: Using the Index Rule $(\frac{x^a}{x^b}=x^{a-b})$ .
Differentiate: Using the Constant Multiple Rule and the Power Rule, differentiate the expression to get $(2)(\frac{2}{3})(x^{\frac{2}{3}-1})$.
Simplify: Multiply out the constants and get rid of the negative exponents.
