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} (- 2)

Simplify

\frac{1}{2 6 - 2 x} (- 2) : - \frac{1}{6 - 2 x}

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

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

\int sin^{7} (x) cos^{4} (x) d x

\int - B e^{- 2 t} d t

x^{4} - 2 x^{2} + 3

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