What is (\partial)/(\partial x)(sqrt(5-3x)) ?

The answer to (\partial)/(\partial x)(sqrt(5-3x)) is -3/(2sqrt(5-3x))

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(\partial)/(\partial x)(sqrt(5-3x))

\frac{\partial}{\partial x} (5 - 3 x)

- \frac{3}{2 5 - 3 x}

Solution steps

\frac{\partial}{\partial x} (5 - 3 x)

Apply the chain rule:

\frac{1}{2 5 - 3 x} \frac{\partial}{\partial x} (5 - 3 x)

= \frac{1}{2 5 - 3 x} \frac{\partial}{\partial x} (5 - 3 x)

\frac{\partial}{\partial x} (5 - 3 x) = - 3

= \frac{1}{2 5 - 3 x} (- 3)

Simplify

\frac{1}{2 5 - 3 x} (- 3) : - \frac{3}{2 5 - 3 x}

= - \frac{3}{2 5 - 3 x}

f (x) = sin^{3} (2 x)

\frac{s - 10}{s ^{3} ( s + 2.5 ) ^{2}}

\frac{\partial ^{2}}{\partial x \partial y} (x y e^{- 7 y})

\int \frac{x - 2}{( x ^{2} - 4 x + 5 ) ^{2}} d x

(cos (4 x))^{^{'}}

What is (\partial)/(\partial x)(sqrt(5-3x)) ?
The answer to (\partial)/(\partial x)(sqrt(5-3x)) is -3/(2sqrt(5-3x))