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

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

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

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

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derivative of

2 x + 1

\frac{1}{2 x + 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int_{- 2}^{3} \frac{37}{x ^{4}} d x

x \to 0 lim (\frac{20 sin ( 3 x )}{x})

\int \frac{1}{( x - 2 ) ^{\frac{1}{3}}} d x

h \to 0 lim \frac{( 5 ( x + h ) + 4 ) - 5 x + 4}{h}

4 x + 3, [0, 1]

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