en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(5+\sqrt{3x)}

Solution

derivative of

5 + 3 x

Solution

\frac{3}{4 x 5 + 3 x}

Solution steps

\frac{d}{d x} (5 + 3 x)

Apply the chain rule:

\frac{1}{2 5 + 3 x} \frac{d}{d x} (5 + 3 x)

= \frac{1}{2 5 + 3 x} \frac{d}{d x} (5 + 3 x)

\frac{d}{d x} (5 + 3 x) = \frac{3}{2 x}

= \frac{1}{2 5 + 3 x} \cdot \frac{3}{2 x}

Simplify

\frac{1}{2 5 + 3 x} \cdot \frac{3}{2 x} : \frac{3}{4 x 5 + 3 x}

= \frac{3}{4 x 5 + 3 x}

Popular Examples

limit as x approaches 0-of (ln(x))/x

x \to 0 - lim (\frac{ln ( x )}{x})

integral of 7tan(x)sec^3(x)

\int 7 tan (x) sec^{3} (x) d x

integral from 0 to 6 of (6x^2-1)

\int_{0}^{6} (6 x^{2} - 1) d x

taylor 2xln(1+(x^2)/4)taylor

2 x ln (1 + \frac{x ^{2}}{4})

integral of csc^2(2x)cot(2x)

\int csc^{2} (2 x) cot (2 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(5+\sqrt{3x)} ?
The derivative of sqrt(5+\sqrt{3x)} is (sqrt(3))/(4sqrt(x)\sqrt{5+\sqrt{3)sqrt(x)}}
What is the first derivative of sqrt(5+\sqrt{3x)} ?
The first derivative of sqrt(5+\sqrt{3x)} is (sqrt(3))/(4sqrt(x)\sqrt{5+\sqrt{3)sqrt(x)}}