en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(1-sin(x))

Solution

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

Solution

- \frac{cos ( x )}{2 1 - sin ( x )}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (1 - sin (x)) = - cos (x)

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

Simplify

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

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

Popular Examples

derivative of 6x-5

\frac{d}{d x} (6 x - 5)

derivative of (e^{2x}+e^{-2x}/x)

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

derivative of Xsqrt(X+1)derivative of

X X + 1

integral of (t-3)/(sqrt(t))

\int \frac{t - 3}{t} d t

(\partial)/(\partial x)(ysqrt(x)-y^2-x+3y)

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

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(1-sin(x)) ?
The derivative of sqrt(1-sin(x)) is -(cos(x))/(2sqrt(1-sin(x)))
What is the first derivative of sqrt(1-sin(x)) ?
The first derivative of sqrt(1-sin(x)) is -(cos(x))/(2sqrt(1-sin(x)))