en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of f(x)=sqrt(1+\sqrt{x)}

Solution

derivative of

f (x) = 1 + x

Solution

\frac{1}{4 x 1 + x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{1}{4 x 1 + x}

Popular Examples

area 1/x , 1/(x^2),2 area

\frac{1}{x}, \frac{1}{x ^{2}}, 2

integral of (sin(t))/(t^2)

\int \frac{sin ( t )}{t ^{2}} d t

y^{''}+6y^'+9y=(-16e^{-3t})/(t^2+1)

y^{^{''}} + 6 y^{^{'}} + 9 y = \frac{- 16 e ^{- 3 t}}{t ^{2} + 1}

inverse oflaplace (s+5)/(s^2+5s+6)inverse laplace

\frac{s + 5}{s ^{2} + 5 s + 6}

derivative of (x-1/(x^2+2x+1))

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

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sqrt(1+\sqrt{x)} ?
The derivative of f(x)=sqrt(1+\sqrt{x)} is 1/(4sqrt(x)\sqrt{1+\sqrt{x)}}
What is the first derivative of f(x)=sqrt(1+\sqrt{x)} ?
The first derivative of f(x)=sqrt(1+\sqrt{x)} is 1/(4sqrt(x)\sqrt{1+\sqrt{x)}}