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

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

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

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

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derivative of

3 x + 2

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{d y}{d x} = e^{8 x} + 10 y

\frac{d}{d x} (\frac{( 3 - 5 x ) ^{6}}{10})

\int \frac{3 \cdot 2 ^{x} - 2 \cdot 3 ^{x}}{2 ^{x}} d x

\int x^{2} 2 sin (x) d x

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

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