What is (\partial)/(\partial x)(16sqrt(3x)+2y) ?

The answer to (\partial)/(\partial x)(16sqrt(3x)+2y) is (8sqrt(3))/(sqrt(x))

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(\partial)/(\partial x)(16sqrt(3x)+2y)

\frac{\partial}{\partial x} (16 3 x + 2 y)

\frac{8 3}{x}

Solution steps

\frac{\partial}{\partial x} (16 3 x + 2 y)

Simplify

16 3 x + 2 y : 163 x + 2 y

= \frac{\partial}{\partial x} (163 x + 2 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (163 x) + \frac{\partial}{\partial x} (2 y)

\frac{\partial}{\partial x} (163 x) = \frac{8 3}{x}

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

= \frac{8 3}{x} + 0

Simplify

= \frac{8 3}{x}

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

x^{3} - 3 x^{2} - 9 x + 11, at x = 3

\int (cos (θ))^{2} d θ

\int (ln (t))^{2} d t

x \to 6 lim (x^{3} + 3 x)

What is (\partial)/(\partial x)(16sqrt(3x)+2y) ?
The answer to (\partial)/(\partial x)(16sqrt(3x)+2y) is (8sqrt(3))/(sqrt(x))