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

The first derivative of 1/(1/x) is 1

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derivative of 1/(1/x)

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

1

Solution steps

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

Simplify

\frac{1}{\frac{1}{x}} : x

= \frac{d x}{d x}

Apply the common derivative:

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

= 1

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y^{(\frac{1}{2})} y^{^{'}} + y^{(\frac{3}{2})} = 1

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