What is the derivative of sqrt(7+9x) ?

The derivative of sqrt(7+9x) is 9/(2sqrt(7+9x))

What is the first derivative of sqrt(7+9x) ?

The first derivative of sqrt(7+9x) is 9/(2sqrt(7+9x))

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\frac{d}{d x} (7 + 9 x)

\frac{9}{2 7 + 9 x}

Solution steps

\frac{d}{d x} (7 + 9 x)

Apply the chain rule:

\frac{1}{2 7 + 9 x} \frac{d}{d x} (7 + 9 x)

= \frac{1}{2 7 + 9 x} \frac{d}{d x} (7 + 9 x)

\frac{d}{d x} (7 + 9 x) = 9

= \frac{1}{2 7 + 9 x} \cdot 9

Simplify

\frac{1}{2 7 + 9 x} \cdot 9 : \frac{9}{2 7 + 9 x}

= \frac{9}{2 7 + 9 x}

x \to - 1.9 lim (2 sin (x))

x \to 1 - lim (\frac{4}{x - 1})

(x - 6) y^{^{'}} + y = x^{2} + 18

\frac{\partial}{\partial y} (10 y^{2} e^{10 x y})

t \to 0 lim (\frac{tan ( 3 t )}{t})

What is the derivative of sqrt(7+9x) ?
The derivative of sqrt(7+9x) is 9/(2sqrt(7+9x))
What is the first derivative of sqrt(7+9x) ?
The first derivative of sqrt(7+9x) is 9/(2sqrt(7+9x))