en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of arctan(x-2)

Solution

\frac{d}{d x} (arctan (x - 2))

Solution

\frac{1}{x ^{2} - 4 x + 5}

Solution steps

\frac{d}{d x} (arctan (x - 2))

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{( x - 2 ) ^{2} + 1} \cdot 1 : \frac{1}{x ^{2} - 4 x + 5}

= \frac{1}{x ^{2} - 4 x + 5}

Popular Examples

derivative of f(x)=3xsqrt(2-3x)derivative of

f (x) = 3 x 2 - 3 x

limit as x approaches infinity of 4cos(x)

x \to \infty lim (4 cos (x))

derivative of 1+t/(45t^2+30t)derivative of

1 + \frac{t}{45 t ^{2} + 30 t}

derivative of 1/6 ln|3sec(2x-2|+C)

\frac{d}{d x} (\frac{1}{6} ln ∣ 3 sec (2 x) - 2 ∣ + C)

integral from 0 to infinity of 1/(x+1)

\int_{0}^{\infty} \frac{1}{x + 1} d x

Frequently Asked Questions (FAQ)

What is the derivative of arctan(x-2) ?
The derivative of arctan(x-2) is 1/(x^2-4x+5)
What is the first derivative of arctan(x-2) ?
The first derivative of arctan(x-2) is 1/(x^2-4x+5)