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

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

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

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

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

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

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

Simplify

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

y^{^{''}} + 16 y = 8 sin (4 x)

x \to 0 lim (\frac{x}{tan ( 3 x )})

\int 8 tan^{3} (x) d x

\frac{\partial}{\partial x} (C e^{2 x} - 3)

n = 0 \sum \infty (x - 2 x^{2})^{n}

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