What is the derivative of sqrt(3x+3) ?

The derivative of sqrt(3x+3) is 3/(2sqrt(3x+3))

What is the first derivative of sqrt(3x+3) ?

The first derivative of sqrt(3x+3) is 3/(2sqrt(3x+3))

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\frac{d}{d x} (3 x + 3)

\frac{3}{2 3 x + 3}

Solution steps

\frac{d}{d x} (3 x + 3)

Apply the chain rule:

\frac{1}{2 3 x + 3} \frac{d}{d x} (3 x + 3)

= \frac{1}{2 3 x + 3} \frac{d}{d x} (3 x + 3)

\frac{d}{d x} (3 x + 3) = 3

= \frac{1}{2 3 x + 3} \cdot 3

Simplify

\frac{1}{2 3 x + 3} \cdot 3 : \frac{3}{2 3 x + 3}

= \frac{3}{2 3 x + 3}

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What is the derivative of sqrt(3x+3) ?
The derivative of sqrt(3x+3) is 3/(2sqrt(3x+3))
What is the first derivative of sqrt(3x+3) ?
The first derivative of sqrt(3x+3) is 3/(2sqrt(3x+3))