What is the derivative of sqrt(1+3x) ?

The derivative of sqrt(1+3x) is 3/(2sqrt(1+3x))

What is the first derivative of sqrt(1+3x) ?

The first derivative of sqrt(1+3x) is 3/(2sqrt(1+3x))

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derivative of

1 + 3 x

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

e^{1 - 2 t}

\frac{d}{d x} (\frac{2 x ^{3} - 6 π ^{2}}{x ^{5}})

\int π cos (\frac{n x}{2}) d x

x \to 0 lim (- 7)

\frac{\partial}{\partial x} (e^{- x} cos (π t))

What is the derivative of sqrt(1+3x) ?
The derivative of sqrt(1+3x) is 3/(2sqrt(1+3x))
What is the first derivative of sqrt(1+3x) ?
The first derivative of sqrt(1+3x) is 3/(2sqrt(1+3x))