What is the derivative of sqrt(3-9x) ?

The derivative of sqrt(3-9x) is -9/(2sqrt(3-9x))

What is the first derivative of sqrt(3-9x) ?

The first derivative of sqrt(3-9x) is -9/(2sqrt(3-9x))

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derivative of

3 - 9 x

- \frac{9}{2 3 - 9 x}

Solution steps

\frac{d}{d x} (3 - 9 x)

Apply the chain rule:

\frac{1}{2 3 - 9 x} \frac{d}{d x} (3 - 9 x)

= \frac{1}{2 3 - 9 x} \frac{d}{d x} (3 - 9 x)

\frac{d}{d x} (3 - 9 x) = - 9

= \frac{1}{2 3 - 9 x} (- 9)

Simplify

\frac{1}{2 3 - 9 x} (- 9) : - \frac{9}{2 3 - 9 x}

= - \frac{9}{2 3 - 9 x}

\frac{d}{d x} (4 x - \frac{3}{x} + \frac{1}{x ^{2}})

\int ln (x) \frac{1 - ( ln ( x ) ) ^{2}}{x} d x

\int \frac{1}{2 x} cos (2 x) d x

x \to 8 - lim (\frac{x - 9}{x - 8})

3 x, 7 x^{2}

What is the derivative of sqrt(3-9x) ?
The derivative of sqrt(3-9x) is -9/(2sqrt(3-9x))
What is the first derivative of sqrt(3-9x) ?
The first derivative of sqrt(3-9x) is -9/(2sqrt(3-9x))