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

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

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

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

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

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

7 x^{2} + x y + 7 y^{2} = 15, (1, 1)

x \to 0 + lim ((e^{x} + x)^{\frac{1}{x}})

x \to 3 lim (\frac{x ^{2} - 3}{x - 3})

\int \frac{20 x}{1 - x ^{4}} d x

\int \frac{1}{4 + 2 x} d x

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