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

The derivative of f(x)=(x^2)/2+2/(x^2) is x-4/(x^3)

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

The first derivative of f(x)=(x^2)/2+2/(x^2) is x-4/(x^3)

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derivative of

f (x) = \frac{x ^{2}}{2} + \frac{2}{x ^{2}}

x - \frac{4}{x ^{3}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{2}{x ^{2}}) = - \frac{4}{x ^{3}}

= x - \frac{4}{x ^{3}}

\int (tan^{5} (x)) d x

f (x) = e^{x - 3}

e^{6 t}

y^{^{'}} = y - x

\int_{0}^{4} 16 - x^{3} d x

What is the derivative of f(x)=(x^2)/2+2/(x^2) ?
The derivative of f(x)=(x^2)/2+2/(x^2) is x-4/(x^3)
What is the first derivative of f(x)=(x^2)/2+2/(x^2) ?
The first derivative of f(x)=(x^2)/2+2/(x^2) is x-4/(x^3)