derivative of sqrt(3-9x) — step-by-step solution

⚠ 9x is read as the product 9*x: for a power, write 9^x

Let's perform the differentiation:

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

Apply the differentiation rule:

\frac{d}{d x} (\sqrt{f}) = \frac{d}{d x} (f) \cdot \frac{1}{2 \sqrt{f}}

with f =

3 - 9 x

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

ℹ

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

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

‖

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

0 + \frac{d}{d x} (- 9 x)

\frac{0 + \frac{d}{d x} (- 9 x)}{2 \cdot \sqrt{3 - 9 x}}

▶Derivative:

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