What is the derivative of f(x)=sqrt(9x+8) ?

The derivative of f(x)=sqrt(9x+8) is 9/(2sqrt(9x+8))

What is the first derivative of f(x)=sqrt(9x+8) ?

The first derivative of f(x)=sqrt(9x+8) is 9/(2sqrt(9x+8))

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derivative of

f (x) = 9 x + 8

\frac{9}{2 9 x + 8}

Solution steps

\frac{d}{d x} (9 x + 8)

Apply the chain rule:

\frac{1}{2 9 x + 8} \frac{d}{d x} (9 x + 8)

= \frac{1}{2 9 x + 8} \frac{d}{d x} (9 x + 8)

\frac{d}{d x} (9 x + 8) = 9

= \frac{1}{2 9 x + 8} \cdot 9

Simplify

\frac{1}{2 9 x + 8} \cdot 9 : \frac{9}{2 9 x + 8}

= \frac{9}{2 9 x + 8}

What is the derivative of f(x)=sqrt(9x+8) ?
The derivative of f(x)=sqrt(9x+8) is 9/(2sqrt(9x+8))
What is the first derivative of f(x)=sqrt(9x+8) ?
The first derivative of f(x)=sqrt(9x+8) is 9/(2sqrt(9x+8))