What is the derivative of 4/(5x^6) ?

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

What is the first derivative of 4/(5x^6) ?

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

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\frac{d}{d x} (\frac{4}{5 x ^{6}})

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

Solution steps

\frac{d}{d x} (\frac{4}{5 x ^{6}})

Take the constant out:

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

= \frac{4}{5} \frac{d}{d x} (\frac{1}{x ^{6}})

Apply exponent rule:

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

= \frac{4}{5} \frac{d}{d x} (x^{- 6})

Apply the Power Rule:

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

= \frac{4}{5} (- 6 x^{- 6 - 1})

Simplify

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

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

f (x) = 2 - 6 x^{2}, (- 5, - 148)

\frac{d}{d x} ((3 x^{4} - 6 x)^{3})

y = 4 e^{x} cos (x)

y = \frac{ln ( x )}{x}

\frac{\partial}{\partial x} (A \frac{x}{z})

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