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

The answer to (\partial)/(\partial x)(3x^2+2y) is 6x

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

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

6 x

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (3 x^{2}) = 6 x

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

= 6 x + 0

Simplify

= 6 x

\int (cos^{2} (x)) d x

\int (2^{x}) d x

x \to 7 - lim (4 x)

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2}}{3 + x})

x + 2, x, - 2, 2

What is (\partial)/(\partial x)(3x^2+2y) ?
The answer to (\partial)/(\partial x)(3x^2+2y) is 6x