What is the derivative of x^{-3/7} ?

The derivative of x^{-3/7} is -3/(7x^{10/7)}

What is the first derivative of x^{-3/7} ?

The first derivative of x^{-3/7} is -3/(7x^{10/7)}

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\frac{d}{d x} (x^{- \frac{3}{7}})

- \frac{3}{7 x ^{\frac{10}{7}}}

Solution steps

\frac{d}{d x} (x^{- \frac{3}{7}})

Apply the Power Rule:

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

= - \frac{3}{7} x^{- \frac{3}{7} - 1}

Simplify

- \frac{3}{7} x^{- \frac{3}{7} - 1} : - \frac{3}{7 x ^{\frac{10}{7}}}

= - \frac{3}{7 x ^{\frac{10}{7}}}

5 y^{^{''}} + y^{^{'}} = - 6 x, y (0) = 0, y^{^{'}} (0) = - 20

f (x) = 6 tan (x), at x = \frac{π}{3}

\int sin^{3} (2 x) cos^{8} (2 x) d x

\frac{\partial}{\partial x} (x^{3} y^{4})

\frac{x - 4}{x + 4}

What is the derivative of x^{-3/7} ?
The derivative of x^{-3/7} is -3/(7x^{10/7)}
What is the first derivative of x^{-3/7} ?
The first derivative of x^{-3/7} is -3/(7x^{10/7)}