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

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

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

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

\frac{1}{2 x - w}

Solution steps

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

Treat

w

as a constant

Apply the chain rule:

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

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

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

= \frac{1}{2 x - w} \cdot 1

Simplify

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

x y^{^{'}} + 4 y = \frac{2 e ^{- 4 x}}{x ^{3}}

y = - 3 x^{2} + 10 x + 2, at x = 1

\frac{t d u}{d t} = t^{2} + 3 u, t > 0, H (6) = 180

5 - 2 x^{2}

\frac{d y}{d x} = 0.05 x - 450

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