What is the derivative of 6/(7x^4) ?

The derivative of 6/(7x^4) is -(24)/(7x^5)

What is the first derivative of 6/(7x^4) ?

The first derivative of 6/(7x^4) is -(24)/(7x^5)

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\frac{d}{d x} (\frac{6}{7 x ^{4}})

- \frac{24}{7 x ^{5}}

Solution steps

\frac{d}{d x} (\frac{6}{7 x ^{4}})

Take the constant out:

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

= \frac{6}{7} \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= \frac{6}{7} \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= \frac{6}{7} (- 4 x^{- 4 - 1})

Simplify

\frac{6}{7} (- 4 x^{- 4 - 1}) : - \frac{24}{7 x ^{5}}

= - \frac{24}{7 x ^{5}}

\int (2 x^{2} - 3 x + 2)^{\frac{3}{2}} (x - \frac{3}{4}) d x

\frac{\partial}{\partial y} (\frac{2 x - 2 z}{3 y + 2 z})

y = 2 x^{2} - 4 x + 2

\int \frac{( ln ( x ) ) ^{25}}{x} d x

\int_{1}^{2} w^{5} e^{w^{3}} d w

What is the derivative of 6/(7x^4) ?
The derivative of 6/(7x^4) is -(24)/(7x^5)
What is the first derivative of 6/(7x^4) ?
The first derivative of 6/(7x^4) is -(24)/(7x^5)