What is the derivative of \sqrt[6]{u} ?

The derivative of \sqrt[6]{u} is 1/(6u^{5/6)}

What is the first derivative of \sqrt[6]{u} ?

The first derivative of \sqrt[6]{u} is 1/(6u^{5/6)}

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derivative of

\frac{1}{6 u ^{\frac{5}{6}}}

Solution steps

Apply radical rule:

= \frac{d}{d u} (u^{\frac{1}{6}})

Apply the Power Rule:

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

= \frac{1}{6} u^{\frac{1}{6} - 1}

Simplify

\frac{1}{6} u^{\frac{1}{6} - 1} : \frac{1}{6 u ^{\frac{5}{6}}}

= \frac{1}{6 u ^{\frac{5}{6}}}

x \to \frac{π}{2} lim (sec^{2} (x))

\frac{\partial}{\partial x} (\frac{x}{( x - 1 ) ^{2}})

\int x \cdot 1 + \frac{1}{4 x} d x

y^{^{'''}} + y^{^{''}} = 8 x^{2}

\int 2 sin^{2} (x) cos^{3} (x) d x

What is the derivative of \sqrt[6]{u} ?
The derivative of \sqrt[6]{u} is 1/(6u^{5/6)}
What is the first derivative of \sqrt[6]{u} ?
The first derivative of \sqrt[6]{u} is 1/(6u^{5/6)}