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

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

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

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

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derivative of

f (x) = 9 x + 5

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int r^{2} - x^{2} d x

\frac{d y}{d x} = 6 - x

t an g e n t f (x) = 2 x^{2} - 10 x + 9, (2, - 3)

(x^{2} + y^{2}) d x + 2 x y d y = 0

n = 1 \sum \infty \frac{5 n}{n ^{2} + 2}

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