What is the derivative of sqrt((1+2x)) ?

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

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

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

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

\frac{1}{1 + 2 x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

x \to 4 - lim (\frac{3}{x ^{2} - 16})

y = tan (2) (x)

3 arcsin (x^{4})

\frac{d}{d x} (- 131072 sin (2 x))

x \to (- 1^{+}) lim (4 x^{3} - 2 m)

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