What is the derivative of f(x)=x^2(2/(x^2)+5/(x^3)) ?

The derivative of f(x)=x^2(2/(x^2)+5/(x^3)) is -5/(x^2)

What is the first derivative of f(x)=x^2(2/(x^2)+5/(x^3)) ?

The first derivative of f(x)=x^2(2/(x^2)+5/(x^3)) is -5/(x^2)

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derivative of

f (x) = x^{2} (\frac{2}{x ^{2}} + \frac{5}{x ^{3}})

- \frac{5}{x ^{2}}

Solution steps

\frac{d}{d x} (x^{2} (\frac{2}{x ^{2}} + \frac{5}{x ^{3}}))

Simplify

x^{2} (\frac{2}{x ^{2}} + \frac{5}{x ^{3}}) : 2 + \frac{5}{x}

= \frac{d}{d x} (2 + \frac{5}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2) + \frac{d}{d x} (\frac{5}{x})

\frac{d}{d x} (2) = 0

\frac{d}{d x} (\frac{5}{x}) = - \frac{5}{x ^{2}}

= 0 - \frac{5}{x ^{2}}

Simplify

= - \frac{5}{x ^{2}}

\int \frac{x ^{2} - 64}{x ^{4}} d x

\int_{0}^{4} \frac{5}{6 x ^{2} + 7 x + 1} d x

\frac{d y}{d x} + 8 y = 11

x = 0, x = 1, y = 6 + x^{4}

\int x^{3} sinh (x) d x

What is the derivative of f(x)=x^2(2/(x^2)+5/(x^3)) ?
The derivative of f(x)=x^2(2/(x^2)+5/(x^3)) is -5/(x^2)
What is the first derivative of f(x)=x^2(2/(x^2)+5/(x^3)) ?
The first derivative of f(x)=x^2(2/(x^2)+5/(x^3)) is -5/(x^2)