What is the derivative of sqrt(5x+11) ?

The derivative of sqrt(5x+11) is 5/(2sqrt(5x+11))

What is the first derivative of sqrt(5x+11) ?

The first derivative of sqrt(5x+11) is 5/(2sqrt(5x+11))

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\frac{d}{d x} (5 x + 11)

\frac{5}{2 5 x + 11}

Solution steps

\frac{d}{d x} (5 x + 11)

Apply the chain rule:

\frac{1}{2 5 x + 11} \frac{d}{d x} (5 x + 11)

= \frac{1}{2 5 x + 11} \frac{d}{d x} (5 x + 11)

\frac{d}{d x} (5 x + 11) = 5

= \frac{1}{2 5 x + 11} \cdot 5

Simplify

\frac{1}{2 5 x + 11} \cdot 5 : \frac{5}{2 5 x + 11}

= \frac{5}{2 5 x + 11}

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What is the derivative of sqrt(5x+11) ?
The derivative of sqrt(5x+11) is 5/(2sqrt(5x+11))
What is the first derivative of sqrt(5x+11) ?
The first derivative of sqrt(5x+11) is 5/(2sqrt(5x+11))