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

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

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

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

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Popular >

\frac{d}{d x} (\frac{x ^{2}}{2} + \frac{1}{x})

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

Solution steps

\frac{d}{d x} (\frac{x ^{2}}{2} + \frac{1}{x})

Apply the Sum/Difference Rule:

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

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

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

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

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

x (x^{5} + 2)

x \to 0 lim ((2 x^{2} + x)^{x})

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

x \to 2 + lim (\frac{8 + x}{2 - x})

\int \frac{10 x ^{2}}{1 + x ^{3}} d x

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