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Popular >

derivative of (x^{6/7}/5)

Solution

\frac{d}{d x} (\frac{x ^{\frac{6}{7}}}{5})

Solution

\frac{6}{35 x ^{\frac{1}{7}}}

Solution steps

\frac{d}{d x} (\frac{x ^{\frac{6}{7}}}{5})

Take the constant out:

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

= \frac{1}{5} \frac{d}{d x} (x^{\frac{6}{7}})

Apply the Power Rule:

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

= \frac{1}{5} \cdot \frac{6}{7} x^{\frac{6}{7} - 1}

Simplify

\frac{1}{5} \cdot \frac{6}{7} x^{\frac{6}{7} - 1} : \frac{6}{35 x ^{\frac{1}{7}}}

= \frac{6}{35 x ^{\frac{1}{7}}}

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\int_{0}^{π} t \cdot sin (3 t) d t

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\frac{d}{d x} (e^{x} sin (y))

limit as x approaches-1 of x^2-1

x \to - 1 lim (x^{2} - 1)

Frequently Asked Questions (FAQ)

What is the derivative of (x^{6/7}/5) ?
The derivative of (x^{6/7}/5) is 6/(35x^{1/7)}
What is the first derivative of (x^{6/7}/5) ?
The first derivative of (x^{6/7}/5) is 6/(35x^{1/7)}