What is (\partial)/(\partial y)((4y)/(x^5)) ?

The answer to (\partial)/(\partial y)((4y)/(x^5)) is 4/(x^5)

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(\partial)/(\partial y)((4y)/(x^5))

\frac{\partial}{\partial y} (\frac{4 y}{x ^{5}})

\frac{4}{x ^{5}}

Solution steps

\frac{\partial}{\partial y} (\frac{4 y}{x ^{5}})

Treat

x

as a constant

Take the constant out:

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

= \frac{4}{x ^{5}} \frac{\partial}{\partial y} (y)

Apply the common derivative:

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

= \frac{4}{x ^{5}} \cdot 1

Simplify

= \frac{4}{x ^{5}}

f (x) = 3 x^{4} - x^{3} - 5 x^{2} + 7, at x = 3

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

\frac{d y}{d x} = (\frac{( y + 3 )}{( 2 x + 5 )})^{2}

\frac{d y}{d x} = - y^{2} + y

\frac{d}{d x} (x^{n})

What is (\partial)/(\partial y)((4y)/(x^5)) ?
The answer to (\partial)/(\partial y)((4y)/(x^5)) is 4/(x^5)