What is the derivative of f(x)=sin(sqrt(x)) ?

The derivative of f(x)=sin(sqrt(x)) is (cos(sqrt(x)))/(2sqrt(x))

What is the first derivative of f(x)=sin(sqrt(x)) ?

The first derivative of f(x)=sin(sqrt(x)) is (cos(sqrt(x)))/(2sqrt(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = sin (x)

\frac{cos ( x )}{2 x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

cos (x) \frac{1}{2 x} : \frac{cos ( x )}{2 x}

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

f (x) = 1 + cos (x)

sec^{2} (x)

f = 8

y = x e^{- x}

f (x) = \frac{8}{x}, at x = - 1

What is the derivative of f(x)=sin(sqrt(x)) ?
The derivative of f(x)=sin(sqrt(x)) is (cos(sqrt(x)))/(2sqrt(x))
What is the first derivative of f(x)=sin(sqrt(x)) ?
The first derivative of f(x)=sin(sqrt(x)) is (cos(sqrt(x)))/(2sqrt(x))