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Popular >

(1/x)^'

Solution

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

Solution

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

Solution steps

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

Apply exponent rule:

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

= (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}}

Popular Examples

integral of 9xcos(x)

\int 9 x cos (x) d x

\frac{d y}{d x} = \frac{1}{y}

derivative of f(x)=x^3(x-8)^2 derivative of

f (x) = x^{3} (x - 8)^{2}

(dy)/(dx)=e^{2y}sin(3x)

\frac{d y}{d x} = e^{2 y} sin (3 x)

tangent of f(x)= 7/x ,\at x=1 tangent of

f (x) = \frac{7}{x}, at x = 1

Frequently Asked Questions (FAQ)

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