What is (\partial)/(\partial x)(sqrt(4-x)) ?

The answer to (\partial)/(\partial x)(sqrt(4-x)) is -1/(2sqrt(4-x))

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(\partial)/(\partial x)(sqrt(4-x))

\frac{\partial}{\partial x} (4 - x)

- \frac{1}{2 4 - x}

Solution steps

\frac{\partial}{\partial x} (4 - x)

Apply the chain rule:

\frac{1}{2 4 - x} \frac{\partial}{\partial x} (4 - x)

= \frac{1}{2 4 - x} \frac{\partial}{\partial x} (4 - x)

\frac{\partial}{\partial x} (4 - x) = - 1

= \frac{1}{2 4 - x} (- 1)

Simplify

= - \frac{1}{2 4 - x}

\int f (g (x))

\int_{0}^{2} \frac{1}{x} d x

\frac{d}{d x} (sin^{n} (x))

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

4 x y^{3} y^{^{'}} = x^{4} + 4 y^{4}

What is (\partial)/(\partial x)(sqrt(4-x)) ?
The answer to (\partial)/(\partial x)(sqrt(4-x)) is -1/(2sqrt(4-x))