Basic Derivatives - Negative Fractional Power with Coefficient as Radical (with Rule) to Derivative

Question

Find the derivative f'(x) using the power rule.

$$\begin{array}{l} \displaystyle \text{if } f(x) = a\,x^{n},\ f'(x) = a\,n\,x^{n-1} \[12pt] \displaystyle f(x) = \frac{2}{\sqrt[3]{x^{5}}} \end{array}$$

Accepted Answer

$$f'(x) = -\frac{10}{3}x^{-\frac{8}{3}}$$

Answer

$$f'(x) = -\frac{10}{3}x^{-\frac{2}{3}}$$

Answer

$$f'(x) = -\frac{10}{3}x^{-\frac{5}{3}}$$

Answer

$$f'(x) = 2x^{-\frac{8}{3}}$$

Practice: Basic Derivatives - Negative Fractional Power with Coefficient as Radical (with Rule) to Derivative

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Basic Derivatives - Negative Fractional Power with Coefficient as Radical (with Rule) to Derivative

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