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

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

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

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

2 x

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (y^{2}) = 0

\frac{\partial}{\partial x} (2) = 0

= 2 x + 0 + 0

Simplify

= 2 x

\int (e^{x}) d x

\frac{d}{d y} (tan (y))

\int x^{2} 3 x + 2 d x

\int_{0}^{8} y^{2} (8 - y) d y

d er i v a t i v e 4 x - 5 x^{\frac{3}{4}}

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