What is the derivative of sqrt(sin(\sqrt{x))} ?

The derivative of sqrt(sin(\sqrt{x))} is (cos(sqrt(x)))/(4sqrt(x)\sqrt{sin(\sqrt{x))}}

What is the first derivative of sqrt(sin(\sqrt{x))} ?

The first derivative of sqrt(sin(\sqrt{x))} is (cos(sqrt(x)))/(4sqrt(x)\sqrt{sin(\sqrt{x))}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

sin (x)

\frac{cos ( x )}{4 x sin ( x )}

Solution steps

\frac{d}{d x} (sin (x))

Apply the chain rule:

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

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

\frac{d}{d x} (sin (x)) = \frac{cos ( x )}{2 x}

= \frac{1}{2 sin ( x )} \cdot \frac{cos ( x )}{2 x}

Simplify

\frac{1}{2 sin ( x )} \cdot \frac{cos ( x )}{2 x} : \frac{cos ( x )}{4 x sin ( x )}

= \frac{cos ( x )}{4 x sin ( x )}

\int 30 d x

2 x^{2} - 10 x

n = 0 \sum \infty \frac{1}{ln ( n )}

2 - \frac{4}{t} (4.1)

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

What is the derivative of sqrt(sin(\sqrt{x))} ?
The derivative of sqrt(sin(\sqrt{x))} is (cos(sqrt(x)))/(4sqrt(x)\sqrt{sin(\sqrt{x))}}
What is the first derivative of sqrt(sin(\sqrt{x))} ?
The first derivative of sqrt(sin(\sqrt{x))} is (cos(sqrt(x)))/(4sqrt(x)\sqrt{sin(\sqrt{x))}}