What is the derivative of-(11/(\sqrt[3]{x)}) ?

The derivative of-(11/(\sqrt[3]{x)}) is (11)/(3x^{4/3)}

What is the first derivative of-(11/(\sqrt[3]{x)}) ?

The first derivative of-(11/(\sqrt[3]{x)}) is (11)/(3x^{4/3)}

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\frac{11}{3 x ^{\frac{4}{3}}}

Solution steps

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= - 11 \frac{d}{d x} (x^{- \frac{1}{3}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - 11 (- \frac{1}{3} x^{- \frac{1}{3} - 1})

Simplify

- 11 (- \frac{1}{3} x^{- \frac{1}{3} - 1}) : \frac{11}{3 x ^{\frac{4}{3}}}

= \frac{11}{3 x ^{\frac{4}{3}}}

y^{^{'}} - \frac{y}{x} = x

\frac{d}{d x} (- 5 e^{- x})

\frac{d y}{d x} (x + 1) = x + 6

\int \frac{1}{8 x + 1} d x

What is the derivative of-(11/(\sqrt[3]{x)}) ?
The derivative of-(11/(\sqrt[3]{x)}) is (11)/(3x^{4/3)}
What is the first derivative of-(11/(\sqrt[3]{x)}) ?
The first derivative of-(11/(\sqrt[3]{x)}) is (11)/(3x^{4/3)}