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

The derivative of 1/(x^1) is -1/(x^2)

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

The first derivative of 1/(x^1) is -1/(x^2)

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

- \frac{1}{x ^{2}}

Solution steps

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

= - 1 \cdot x^{- 1 - 1}

Simplify

- 1 \cdot x^{- 1 - 1} : - \frac{1}{x ^{2}}

= - \frac{1}{x ^{2}}

\frac{d}{d x} (x e x)

y^{^{''}} - 2 y^{^{'}} + 5 y = 17 cos (2 x)

\int x (12 x + 8) d x

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

\frac{d y}{d x} = \frac{2 x y}{x ^{2} + y ^{2}}

What is the derivative of 1/(x^1) ?
The derivative of 1/(x^1) is -1/(x^2)
What is the first derivative of 1/(x^1) ?
The first derivative of 1/(x^1) is -1/(x^2)