What is (\partial)/(\partial x)(sqrt(6+2x)) ?

The answer to (\partial)/(\partial x)(sqrt(6+2x)) is 1/(sqrt(6+2x))

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(\partial)/(\partial x)(sqrt(6+2x))

\frac{\partial}{\partial x} (6 + 2 x)

\frac{1}{6 + 2 x}

Solution steps

\frac{\partial}{\partial x} (6 + 2 x)

Apply the chain rule:

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

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

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

= \frac{1}{2 6 + 2 x} \cdot 2

Simplify

\frac{1}{2 6 + 2 x} \cdot 2 : \frac{1}{6 + 2 x}

= \frac{1}{6 + 2 x}

x \to 2 lim (x^{3} - a x)

\int_{0}^{49} \frac{1}{49 - x} d x

x sin (\frac{5}{x})

\frac{d}{d x} (\frac{x}{1 - ln ( x - 9 )})

x y^{^{'}} - y = \frac{5}{4} x ln (x)

What is (\partial)/(\partial x)(sqrt(6+2x)) ?
The answer to (\partial)/(\partial x)(sqrt(6+2x)) is 1/(sqrt(6+2x))