What is (\partial)/(\partial x)(4374x^{1/3}+2y) ?

The answer to (\partial)/(\partial x)(4374x^{1/3}+2y) is (1458)/(x^{2/3)}

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(\partial)/(\partial x)(4374x^{1/3}+2y)

\frac{\partial}{\partial x} (4374 x^{\frac{1}{3}} + 2 y)

\frac{1458}{x ^{\frac{2}{3}}}

Solution steps

\frac{\partial}{\partial x} (4374 x^{\frac{1}{3}} + 2 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (4374 x^{\frac{1}{3}}) + \frac{\partial}{\partial x} (2 y)

\frac{\partial}{\partial x} (4374 x^{\frac{1}{3}}) = \frac{1458}{x ^{\frac{2}{3}}}

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

= \frac{1458}{x ^{\frac{2}{3}}} + 0

Simplify

= \frac{1458}{x ^{\frac{2}{3}}}

x \to 1 lim (\frac{e ^{x} - 1}{x})

\frac{\partial}{\partial z} (x ln (y + z))

{\frac{1}{( s ^{2} + 1 ) ( s ^{2} + 4 )}}

x \to 0 lim (\frac{sin ( 4 x )}{2})

\int x^{2} - 10 d x

What is (\partial)/(\partial x)(4374x^{1/3}+2y) ?
The answer to (\partial)/(\partial x)(4374x^{1/3}+2y) is (1458)/(x^{2/3)}