What is (\partial)/(\partial x)((y)(2x+y)) ?

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

Popular >

(\partial)/(\partial x)((y)(2x+y))

\frac{\partial}{\partial x} ((y) (2 x + y))

2 y

Solution steps

\frac{\partial}{\partial x} ((y) (2 x + y))

Treat

y

as a constant

Take the constant out:

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

= y \frac{\partial}{\partial x} (2 x + y)

Apply the Sum/Difference Rule:

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

= y (\frac{\partial}{\partial x} (2 x) + \frac{\partial}{\partial x} (y))

\frac{\partial}{\partial x} (2 x) = 2

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

= y (2 + 0)

Simplify

= 2 y

\frac{sin ( ( 2 k + 1 ) 2 π )}{2 k + 1}

\frac{- 2 s ^{3} + 6 s ^{2} - 17 s + 54}{( s ^{2} + 9 ) ^{2}}

\frac{2 ( 5 + 2 \cdot 5 ^{\frac{1}{2}} )}{5}

(\frac{1}{3} e^{x} + \frac{5}{3} e^{- 2 x}) \cdot (e^{x} - 2 y)

a (- 2, 4) b (1, 2) c (0, - 3)

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