What is the derivative of sqrt(-5+9x) ?

The derivative of sqrt(-5+9x) is 9/(2sqrt(-5+9x))

What is the first derivative of sqrt(-5+9x) ?

The first derivative of sqrt(-5+9x) is 9/(2sqrt(-5+9x))

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derivative of

- 5 + 9 x

\frac{9}{2 - 5 + 9 x}

Solution steps

\frac{d}{d x} (- 5 + 9 x)

Apply the chain rule:

\frac{1}{2 - 5 + 9 x} \frac{d}{d x} (- 5 + 9 x)

= \frac{1}{2 - 5 + 9 x} \frac{d}{d x} (- 5 + 9 x)

\frac{d}{d x} (- 5 + 9 x) = 9

= \frac{1}{2 - 5 + 9 x} \cdot 9

Simplify

\frac{1}{2 - 5 + 9 x} \cdot 9 : \frac{9}{2 - 5 + 9 x}

= \frac{9}{2 - 5 + 9 x}

\frac{d y}{d t} = 2 t y^{2}

\int (x - 2 π) d x

\int (sin^{4} (x) + cos^{4} (x)) d x

\frac{d y}{d x} = \frac{2 y}{x} + y

\frac{d}{d s} (\frac{s}{s ^{2} + k ^{2}})

What is the derivative of sqrt(-5+9x) ?
The derivative of sqrt(-5+9x) is 9/(2sqrt(-5+9x))
What is the first derivative of sqrt(-5+9x) ?
The first derivative of sqrt(-5+9x) is 9/(2sqrt(-5+9x))