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

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

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

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

2 x

Solution steps

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

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (yz) = 0

= 2 x + 0

Simplify

= 2 x

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