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Popular >

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

Solution

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

Solution

4 x

Solution steps

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

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (2 x^{2}) = 4 x

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

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

= 4 x + 0 + 0

Simplify

= 4 x

Popular Examples

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\frac{d}{d x} (\frac{2 x + 1}{x - 3})

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

derivative of-(10/(10-x))

\frac{d}{d x} (- \frac{10}{10 - x})

integral of 1/(x*sqrt(1-x^2))

\int \frac{1}{x \cdot 1 - x ^{2}} d x

derivative of axe^{2x}

\frac{d}{d x} (a x e^{2 x})

Frequently Asked Questions (FAQ)

What is (\partial)/(\partial x)(2x^2+3y^2+z^2) ?
The answer to (\partial)/(\partial x)(2x^2+3y^2+z^2) is 4x