What is (\partial)/(\partial x)(x/(y^3)+(3y)/(x^3)) ?

The answer to (\partial)/(\partial x)(x/(y^3)+(3y)/(x^3)) is 1/(y^3)-(9y)/(x^4)

Popular >

(\partial)/(\partial x)(x/(y^3)+(3y)/(x^3))

\frac{\partial}{\partial x} (\frac{x}{y ^{3}} + \frac{3 y}{x ^{3}})

\frac{1}{y ^{3}} - \frac{9 y}{x ^{4}}

Solution steps

\frac{\partial}{\partial x} (\frac{x}{y ^{3}} + \frac{3 y}{x ^{3}})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (\frac{x}{y ^{3}}) + \frac{\partial}{\partial x} (\frac{3 y}{x ^{3}})

\frac{\partial}{\partial x} (\frac{x}{y ^{3}}) = \frac{1}{y ^{3}}

\frac{\partial}{\partial x} (\frac{3 y}{x ^{3}}) = - \frac{9 y}{x ^{4}}

= \frac{1}{y ^{3}} - \frac{9 y}{x ^{4}}

x^{2} - 5 x + 5 (0.5)

h \to 0 lim (\frac{( 3 ln ( e + h ) - 3 ln ( e ) )}{h})

\int \frac{4}{x ^{3} - 5 x ^{2} + 7 x - 3} d x

\int ln (x) - 1 d x

\frac{3}{8} x^{2}, 1, 2

What is (\partial)/(\partial x)(x/(y^3)+(3y)/(x^3)) ?
The answer to (\partial)/(\partial x)(x/(y^3)+(3y)/(x^3)) is 1/(y^3)-(9y)/(x^4)