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

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

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

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

2 x

Solution steps

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

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} (2 y)

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

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

= 2 x + 0

Simplify

= 2 x

y = cos^{2} (e^{c o s^{2} (t)})

\int \frac{( 1 + x )}{1 - x} d x

49 y^{^{''}} + 126 y^{^{'}} + 97 y = 0

\frac{1}{d ^{7}}

h (x) = (4 x + 6)^{x}

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