What is (\partial)/(\partial x)(2/(x^2)+y) ?

The answer to (\partial)/(\partial x)(2/(x^2)+y) is -4/(x^3)

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(\partial)/(\partial x)(2/(x^2)+y)

\frac{\partial}{\partial x} (\frac{2}{x ^{2}} + y)

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

Solution steps

\frac{\partial}{\partial x} (\frac{2}{x ^{2}} + y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (\frac{2}{x ^{2}}) + \frac{\partial}{\partial x} (y)

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

\frac{\partial}{\partial x} (y) = 0

= - \frac{4}{x ^{3}} + 0

Simplify

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

- 4 x^{2} + x - 25, - 3 x^{2} + 17 x + 38

\frac{95 t}{99 t - 95}

\int \frac{2 x}{x ^{2} + 100} d x

x \to 2 lim (2 x - 5)

\int \frac{- 6000}{( 3 x + 50 ) ^{2}} d x

What is (\partial)/(\partial x)(2/(x^2)+y) ?
The answer to (\partial)/(\partial x)(2/(x^2)+y) is -4/(x^3)