What is (\partial)/(\partial x)(2x-sqrt(4y^2+3z^2)) ?

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

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(\partial)/(\partial x)(2x-sqrt(4y^2+3z^2))

\frac{\partial}{\partial x} (2 x - 4 y^{2} + 3 z^{2})

2

Solution steps

\frac{\partial}{\partial x} (2 x - 4 y^{2} + 3 z^{2})

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 x) - \frac{\partial}{\partial x} (4 y^{2} + 3 z^{2})

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

\frac{\partial}{\partial x} (4 y^{2} + 3 z^{2}) = 0

= 2 - 0

Simplify

= 2

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