What is the derivative of sqrt(5x+1) ?

The derivative of sqrt(5x+1) is 5/(2sqrt(5x+1))

What is the first derivative of sqrt(5x+1) ?

The first derivative of sqrt(5x+1) is 5/(2sqrt(5x+1))

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derivative of

5 x + 1

\frac{5}{2 5 x + 1}

Solution steps

\frac{d}{d x} (5 x + 1)

Apply the chain rule:

\frac{1}{2 5 x + 1} \frac{d}{d x} (5 x + 1)

= \frac{1}{2 5 x + 1} \frac{d}{d x} (5 x + 1)

\frac{d}{d x} (5 x + 1) = 5

= \frac{1}{2 5 x + 1} \cdot 5

Simplify

\frac{1}{2 5 x + 1} \cdot 5 : \frac{5}{2 5 x + 1}

= \frac{5}{2 5 x + 1}

x \to 0 + lim ((3 x)^{x})

\frac{d}{d x} (- 2 \cdot x)

x \to (\frac{π}{2}) + lim (sec (x))

n = 0 \sum \infty \frac{n}{e ^{n}}

\int_{0}^{8} (5 - ∣ x - 3 ∣) d x

What is the derivative of sqrt(5x+1) ?
The derivative of sqrt(5x+1) is 5/(2sqrt(5x+1))
What is the first derivative of sqrt(5x+1) ?
The first derivative of sqrt(5x+1) is 5/(2sqrt(5x+1))