What is (\partial)/(\partial x)((3x)/(y^2)) ?

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

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(\partial)/(\partial x)((3x)/(y^2))

\frac{\partial}{\partial x} (\frac{3 x}{y ^{2}})

\frac{3}{y ^{2}}

Solution steps

\frac{\partial}{\partial x} (\frac{3 x}{y ^{2}})

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= \frac{3}{y ^{2}} \cdot 1

Simplify

= \frac{3}{y ^{2}}

\int sin (4 x) cos (2 x) d x

\frac{d}{d x} (\frac{6 ( x - 3 ) ^{2}}{3 ( x ^{2} - 3 x - 4 )})

\frac{9 cos ( x )}{1 + sin ( x )}

\frac{1}{s - 3} - \frac{16}{s ^{2} + 9}

x \to 6 lim (ln (x - 6))

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