What is (\partial)/(\partial y)((7y)/(x^5)) ?

The answer to (\partial)/(\partial y)((7y)/(x^5)) is 7/(x^5)

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(\partial)/(\partial y)((7y)/(x^5))

\frac{\partial}{\partial y} (\frac{7 y}{x ^{5}})

\frac{7}{x ^{5}}

Solution steps

\frac{\partial}{\partial y} (\frac{7 y}{x ^{5}})

Treat

x

as a constant

Take the constant out:

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

= \frac{7}{x ^{5}} \frac{\partial}{\partial y} (y)

Apply the common derivative:

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

= \frac{7}{x ^{5}} \cdot 1

Simplify

= \frac{7}{x ^{5}}

\frac{d}{d x} ((\frac{1 + 3 x}{3 x}) (3 - x))

\int sin^{3} (4 x) cos (4 x) d x

\int \frac{5 x}{x ^{2} - 1} d x

y^{^{''}} - 8 y^{^{'}} + 16 y = 0, y (0) = 5, y^{^{'}} (0) = 0

h \to 0 lim (\frac{h}{h ^{2} - 7 h + 1})

What is (\partial)/(\partial y)((7y)/(x^5)) ?
The answer to (\partial)/(\partial y)((7y)/(x^5)) is 7/(x^5)