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

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

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

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

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derivative of

f (x) = 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}

n = 0 \sum \infty \frac{1}{n n}

\int \frac{1}{1 + sin ( x ) - cos ( x )} d x

\int_{0}^{\frac{π}{2}} cos^{3} (x) d x

\frac{d}{d x} (sin (x - 3))

x \to 2 lim (\frac{3 x}{x ^{2} + 2})

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