What is the derivative of 1/(x^7) ?

The derivative of 1/(x^7) is -7/(x^8)

What is the first derivative of 1/(x^7) ?

The first derivative of 1/(x^7) is -7/(x^8)

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derivative of

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

- \frac{7}{x ^{8}}

Solution steps

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

= - 7 x^{- 7 - 1}

Simplify

- 7 x^{- 7 - 1} : - \frac{7}{x ^{8}}

= - \frac{7}{x ^{8}}

x \to 0 + lim (e^{x} - (1 + x))

\frac{\partial}{\partial x} (x \cdot arccsc (\frac{x}{2}))

\int 5 x^{2} + 1 d x

\int \frac{a e ^{x} + b}{a e ^{x} - b} d x

(9 x y^{2} - 4 y) + (9 x^{2} y - 4 x) y^{^{'}} = 0

What is the derivative of 1/(x^7) ?
The derivative of 1/(x^7) is -7/(x^8)
What is the first derivative of 1/(x^7) ?
The first derivative of 1/(x^7) is -7/(x^8)