What is the derivative of sqrt(5-3x) ?

The derivative of sqrt(5-3x) is -3/(2sqrt(5-3x))

What is the first derivative of sqrt(5-3x) ?

The first derivative of sqrt(5-3x) is -3/(2sqrt(5-3x))

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derivative of

5 - 3 x

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d 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}

\frac{d}{d x} (\frac{6}{( 1 - x ) ^{4}})

x \to 0 lim (x - tan (x))

f (x) = \frac{x}{6 + x}

f (x) = x in x

\int \frac{1}{1 - x ^{2}} x d x

What is the derivative of sqrt(5-3x) ?
The derivative of sqrt(5-3x) is -3/(2sqrt(5-3x))
What is the first derivative of sqrt(5-3x) ?
The first derivative of sqrt(5-3x) is -3/(2sqrt(5-3x))