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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

1 + 5 x

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int \frac{x + 4}{x ^{3} + 3 x ^{2} + 2 x} d x

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

\frac{d}{d x} (\frac{arcsin ( x )}{arctan ( x )})

f (x) = x^{3} - 4 x

\int (tan (x) sec^{2} (y)) d x

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