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

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

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

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

2 x y + 2

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

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

= 2 y x + 2 + 0

Simplify

= 2 x y + 2

f (x) = 6 cos (x), at x = \frac{π}{3}

\int \frac{1}{x ln ^{5} ( x )} d x

x \to 3 lim (\frac{1}{x + 2})

x \to 0 - lim (2 + 3 e^{- \frac{3}{x}})

o f - 5 sin (x)

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