en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

2 tan (x) sec^{2} (x)

Solution steps

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

Simplify

\frac{1 - cos ( 2 x )}{1 + cos ( 2 x )} : tan^{2} (x)

= \frac{d}{d x} (tan^{2} (x))

Apply the chain rule:

2 tan (x) \frac{d}{d x} (tan (x))

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

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= 2 tan (x) sec^{2} (x)

Graph

Popular Examples

derivative of (x^2-4x+3/((x-2)^2))

\frac{d}{d x} (\frac{x ^{2} - 4 x + 3}{( x - 2 ) ^{2}})

laplacetransform f(t)=13e^{4t}*e^2 laplace transform

f (t) = 13 e^{4 t} \cdot e^{2}

derivative of 4e^{-6x^2}

\frac{d}{d x} (4 e^{- 6 x^{2}})

integral of (5(1-tan^2(x)))/(sec^2(x))

\int \frac{5 ( 1 - tan ^{2} ( x ) )}{sec ^{2} ( x )} d x

derivative of x-4 derivative of

x - 4

Frequently Asked Questions (FAQ)

What is the derivative of (1-cos(2x)/(1+cos(2x))) ?
The derivative of (1-cos(2x)/(1+cos(2x))) is 2tan(x)sec^2(x)
What is the first derivative of (1-cos(2x)/(1+cos(2x))) ?
The first derivative of (1-cos(2x)/(1+cos(2x))) is 2tan(x)sec^2(x)