What is the derivative of sqrt(3x+5) ?

The derivative of sqrt(3x+5) is 3/(2sqrt(3x+5))

What is the first derivative of sqrt(3x+5) ?

The first derivative of sqrt(3x+5) is 3/(2sqrt(3x+5))

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derivative of

3 x + 5

\frac{3}{2 3 x + 5}

Solution steps

\frac{d}{d x} (3 x + 5)

Apply the chain rule:

\frac{1}{2 3 x + 5} \frac{d}{d x} (3 x + 5)

= \frac{1}{2 3 x + 5} \frac{d}{d x} (3 x + 5)

\frac{d}{d x} (3 x + 5) = 3

= \frac{1}{2 3 x + 5} \cdot 3

Simplify

\frac{1}{2 3 x + 5} \cdot 3 : \frac{3}{2 3 x + 5}

= \frac{3}{2 3 x + 5}

y^{^{'}} + 6 (tan (6 x)) y = 4 cos (6 x)

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

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What is the derivative of sqrt(3x+5) ?
The derivative of sqrt(3x+5) is 3/(2sqrt(3x+5))
What is the first derivative of sqrt(3x+5) ?
The first derivative of sqrt(3x+5) is 3/(2sqrt(3x+5))