en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(2+5x)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

integral from 4 to 5 of xsqrt(x^2-16)

\int_{4}^{5} x x^{2} - 16 d x

(\partial)/(\partial x)(1/3 (x^2+2)^{3/2})

\frac{\partial}{\partial x} (\frac{1}{3} (x^{2} + 2)^{\frac{3}{2}})

limit as x approaches infinity of sqrt(9x^2+x)-3

x \to \infty lim (9 x^{2} + x - 3)

integral of 1/(y^3+y)

\int \frac{1}{y ^{3} + y} d y

integral of 1/(x(x^2+1)^2)

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

Frequently Asked Questions (FAQ)

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