What is the derivative of sqrt(6x+3) ?

The derivative of sqrt(6x+3) is 3/(sqrt(6x+3))

What is the first derivative of sqrt(6x+3) ?

The first derivative of sqrt(6x+3) is 3/(sqrt(6x+3))

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\frac{d}{d x} (6 x + 3)

\frac{3}{6 x + 3}

Solution steps

\frac{d}{d x} (6 x + 3)

Apply the chain rule:

\frac{1}{2 6 x + 3} \frac{d}{d x} (6 x + 3)

= \frac{1}{2 6 x + 3} \frac{d}{d x} (6 x + 3)

\frac{d}{d x} (6 x + 3) = 6

= \frac{1}{2 6 x + 3} \cdot 6

Simplify

\frac{1}{2 6 x + 3} \cdot 6 : \frac{3}{6 x + 3}

= \frac{3}{6 x + 3}

x \to 3 lim (2 x^{2} - 4 x + 5)

\frac{d}{d x} (I n (x + 1))

f (x) = 4 π x^{2}

\frac{( e ^{- s} )}{s ^{2} - 4}

\frac{d}{d x} (e^{2 x} cos (2 x))

What is the derivative of sqrt(6x+3) ?
The derivative of sqrt(6x+3) is 3/(sqrt(6x+3))
What is the first derivative of sqrt(6x+3) ?
The first derivative of sqrt(6x+3) is 3/(sqrt(6x+3))