What is (\partial)/(\partial x)(y-(216)/(x^2)) ?

The answer to (\partial)/(\partial x)(y-(216)/(x^2)) is (432)/(x^3)

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(\partial)/(\partial x)(y-(216)/(x^2))

\frac{\partial}{\partial x} (y - \frac{216}{x ^{2}})

\frac{432}{x ^{3}}

Solution steps

\frac{\partial}{\partial x} (y - \frac{216}{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{216}{x ^{2}})

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

\frac{\partial}{\partial x} (\frac{216}{x ^{2}}) = - \frac{432}{x ^{3}}

= 0 - (- \frac{432}{x ^{3}})

Simplify

= \frac{432}{x ^{3}}

tan (x)

\frac{d}{d x} ((2 x - 8) 4 (x^{2} + x + 1) 5)

\frac{d}{d θ} (2 sin (θ))

\frac{d}{d x} (ln (12 - x))

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

What is (\partial)/(\partial x)(y-(216)/(x^2)) ?
The answer to (\partial)/(\partial x)(y-(216)/(x^2)) is (432)/(x^3)