What is (\partial)/(\partial x)(x^4+yz) ?

The answer to (\partial)/(\partial x)(x^4+yz) is 4x^3

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(\partial)/(\partial x)(x^4+yz)

\frac{\partial}{\partial x} (x^{4} + yz)

4 x^{3}

Solution steps

\frac{\partial}{\partial x} (x^{4} + yz)

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x^{4}) + \frac{\partial}{\partial x} (yz)

\frac{\partial}{\partial x} (x^{4}) = 4 x^{3}

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

= 4 x^{3} + 0

Simplify

= 4 x^{3}

\frac{d}{d x} (x (x^{3} + 6)^{4})

\frac{1}{x - e}

x \to \infty lim (\frac{10}{x})

\int \frac{1}{( tan ( \frac{x}{2} ) ) ^{2} + 1} d x

\frac{d}{d x} (10 sin^{2} (x))

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