What is the derivative of (\sqrt[7]{x}/6) ?

The derivative of (\sqrt[7]{x}/6) is 1/(42x^{6/7)}

What is the first derivative of (\sqrt[7]{x}/6) ?

The first derivative of (\sqrt[7]{x}/6) is 1/(42x^{6/7)}

Popular >

\frac{d}{d x} (\frac{7 x}{6})

\frac{1}{42 x ^{\frac{6}{7}}}

Solution steps

\frac{d}{d x} (\frac{7 x}{6})

Take the constant out:

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

= \frac{1}{6} \frac{d}{d x} (7 x)

Apply radical rule:

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

= \frac{1}{6} \frac{d}{d x} (x^{\frac{1}{7}})

Apply the Power Rule:

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

= \frac{1}{6} \cdot \frac{1}{7} x^{\frac{1}{7} - 1}

Simplify

\frac{1}{6} \cdot \frac{1}{7} x^{\frac{1}{7} - 1} : \frac{1}{42 x ^{\frac{6}{7}}}

= \frac{1}{42 x ^{\frac{6}{7}}}

\frac{\partial}{\partial x} (6 e^{x^{5} y^{3}})

\int 10 x^{3} y d y

y = \frac{( x )}{x ^{2} + 1}

5 x

f (x) = x^{4} - 17 x^{2} + 16

What is the derivative of (\sqrt[7]{x}/6) ?
The derivative of (\sqrt[7]{x}/6) is 1/(42x^{6/7)}
What is the first derivative of (\sqrt[7]{x}/6) ?
The first derivative of (\sqrt[7]{x}/6) is 1/(42x^{6/7)}