What is (\partial)/(\partial x)(6x^{1/2}+2y) ?

The answer to (\partial)/(\partial x)(6x^{1/2}+2y) is 3/(x^{1/2)}

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(\partial)/(\partial x)(6x^{1/2}+2y)

\frac{\partial}{\partial x} (6 x^{\frac{1}{2}} + 2 y)

\frac{3}{x ^{\frac{1}{2}}}

Solution steps

\frac{\partial}{\partial x} (6 x^{\frac{1}{2}} + 2 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 x^{\frac{1}{2}}) + \frac{\partial}{\partial x} (2 y)

\frac{\partial}{\partial x} (6 x^{\frac{1}{2}}) = \frac{3}{x ^{\frac{1}{2}}}

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

= \frac{3}{x ^{\frac{1}{2}}} + 0

Simplify

= \frac{3}{x ^{\frac{1}{2}}}

x \to 0 lim (sin (x) ln (4 x))

\int \frac{I n ( x + 1 )}{x + 1} d x

h \to 0 lim (\frac{( 8 + h ) - ( 8 )}{h})

\int \frac{1}{x 12 + x ^{2}} d x

What is (\partial)/(\partial x)(6x^{1/2}+2y) ?
The answer to (\partial)/(\partial x)(6x^{1/2}+2y) is 3/(x^{1/2)}