What is (\partial)/(\partial x)(x^2+3y^2) ?

The answer to (\partial)/(\partial x)(x^2+3y^2) is 2x

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(\partial)/(\partial x)(x^2+3y^2)

\frac{\partial}{\partial x} (x^{2} + 3 y^{2})

2 x

Solution steps

\frac{\partial}{\partial x} (x^{2} + 3 y^{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} (3 y^{2})

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

\frac{\partial}{\partial x} (3 y^{2}) = 0

= 2 x + 0

Simplify

= 2 x

f (x) = x^{2} + 8, (5, 33)

y = \frac{8}{x}, (2, 4)

x \to \infty lim (x^{3} + x)

\int \frac{4 x + 13}{x ^{2} + 3 x - 10} d x

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

What is (\partial)/(\partial x)(x^2+3y^2) ?
The answer to (\partial)/(\partial x)(x^2+3y^2) is 2x