What is (\partial)/(\partial x)(5xy) ?

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

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(\partial)/(\partial x)(5xy)

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

5 y

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= 5 y \cdot 1

Simplify

= 5 y

\frac{d}{d x} ((e^{- x} - e^{5}) (e^{x} + e^{- 3}))

\frac{d}{d x} (2^{2 x + 1})

y = \frac{1}{x - 2}, at x = 4

y = 5 - 3 x^{2}

y^{^{''}} + 2 y^{^{'}} + 2 y = sin (k x)

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