What is the derivative of sqrt(5x+6) ?

The derivative of sqrt(5x+6) is 5/(2sqrt(5x+6))

What is the first derivative of sqrt(5x+6) ?

The first derivative of sqrt(5x+6) is 5/(2sqrt(5x+6))

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derivative of

5 x + 6

\frac{5}{2 5 x + 6}

Solution steps

\frac{d}{d x} (5 x + 6)

Apply the chain rule:

\frac{1}{2 5 x + 6} \frac{d}{d x} (5 x + 6)

= \frac{1}{2 5 x + 6} \frac{d}{d x} (5 x + 6)

\frac{d}{d x} (5 x + 6) = 5

= \frac{1}{2 5 x + 6} \cdot 5

Simplify

\frac{1}{2 5 x + 6} \cdot 5 : \frac{5}{2 5 x + 6}

= \frac{5}{2 5 x + 6}

What is the derivative of sqrt(5x+6) ?
The derivative of sqrt(5x+6) is 5/(2sqrt(5x+6))
What is the first derivative of sqrt(5x+6) ?
The first derivative of sqrt(5x+6) is 5/(2sqrt(5x+6))