What is the derivative of sqrt(9x-36) ?

The derivative of sqrt(9x-36) is 3/(2sqrt(x-4))

What is the first derivative of sqrt(9x-36) ?

The first derivative of sqrt(9x-36) is 3/(2sqrt(x-4))

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derivative of

9 x - 36

\frac{3}{2 x - 4}

Solution steps

\frac{d}{d x} (9 x - 36)

Apply the chain rule:

\frac{1}{2 9 x - 36} \frac{d}{d x} (9 x - 36)

= \frac{1}{2 9 x - 36} \frac{d}{d x} (9 x - 36)

\frac{d}{d x} (9 x - 36) = 9

= \frac{1}{2 9 x - 36} \cdot 9

Simplify

\frac{1}{2 9 x - 36} \cdot 9 : \frac{3}{2 x - 4}

= \frac{3}{2 x - 4}

\frac{\partial}{\partial x} (- 4 x + 5 - 6 x y)

f (x) = \frac{x ^{3}}{3}

\int \frac{1}{4 x ^{5}} d x

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

\int_{0}^{9} x 81 - x^{2} d x

What is the derivative of sqrt(9x-36) ?
The derivative of sqrt(9x-36) is 3/(2sqrt(x-4))
What is the first derivative of sqrt(9x-36) ?
The first derivative of sqrt(9x-36) is 3/(2sqrt(x-4))