What is the derivative of 2x-1-1/x ?

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

What is the first derivative of 2x-1-1/x ?

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

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\frac{d}{d x} (2 x - 1 - \frac{1}{x})

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

Solution steps

\frac{d}{d x} (2 x - 1 - \frac{1}{x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2 x) - \frac{d}{d x} (1) - \frac{d}{d x} (\frac{1}{x})

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (1) = 0

\frac{d}{d x} (\frac{1}{x}) = - \frac{1}{x ^{2}}

= 2 - 0 - (- \frac{1}{x ^{2}})

Simplify

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

\int \frac{1}{( 1 - x ^{2} ) ^{\frac{1}{2}}} d x

\frac{\partial}{\partial x} (e^{- \frac{x}{y}} + ln (\frac{y}{x}))

\int \frac{4 x}{2 x ^{2} + 3} d x

\int \frac{7}{x ^{2} + 4} d x

t^{2} y^{^{'}} + y = sin (t)

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