What is (\partial)/(\partial x)((x+20)y) ?

The answer to (\partial)/(\partial x)((x+20)y) is y

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(\partial)/(\partial x)((x+20)y)

\frac{\partial}{\partial x} ((x + 20) y)

y

Solution steps

\frac{\partial}{\partial x} ((x + 20) y)

Treat

y

as a constant

Take the constant out:

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

= y \frac{\partial}{\partial x} (x + 20)

Apply the Sum/Difference Rule:

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

= y (\frac{\partial}{\partial x} (x) + \frac{\partial}{\partial x} (20))

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

\frac{\partial}{\partial x} (20) = 0

= y (1 + 0)

Simplify

= y

\int (x + 5)^{4} d x

\frac{d}{d x} (ln (2 sin (x)))

y = (3 - e^{x})^{3}

\frac{d y}{d x} = \frac{8 x}{4 y}

f (x) = \frac{3}{x}

What is (\partial)/(\partial x)((x+20)y) ?
The answer to (\partial)/(\partial x)((x+20)y) is y