What is the derivative of x-5+1/x ?

The derivative of x-5+1/x is -1/(x^2)+1

What is the first derivative of x-5+1/x ?

The first derivative of x-5+1/x is -1/(x^2)+1

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derivative of

x - 5 + \frac{1}{x}

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

Solution steps

\frac{d}{d x} (x - 5 + \frac{1}{x})

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} - \frac{d}{d x} (5) + \frac{d}{d x} (\frac{1}{x})

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

\frac{d}{d x} (5) = 0

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

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

Simplify

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

x^{9 x}

y^{^{'}} + 8 (tan (8 x)) \cdot y = - 9 cos (8 x)

(0.5) (7.9)

\int 9 e^{5 x + e^{5 x}} d x

\int x (4 x - 1)^{4} d x

What is the derivative of x-5+1/x ?
The derivative of x-5+1/x is -1/(x^2)+1
What is the first derivative of x-5+1/x ?
The first derivative of x-5+1/x is -1/(x^2)+1