What is the tangent of (x-3)/(9x-2) ?

The tangent of (x-3)/(9x-2) is y=(25)/((9a_{0)-2)^2}x+(9a_{0}^2-54a_{0}+6)/((9a_{0)-2)^2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tangent of (x-3)/(9x-2)

tangent of

\frac{x - 3}{9 x - 2}

y = \frac{25}{( 9 a _{0} - 2 ) ^{2}} x + \frac{9 a _{0}^{2} - 54 a _{0} + 6}{( 9 a _{0} - 2 ) ^{2}}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, \frac{a _{0} - 3}{9 a _{0} - 2})

Find the slope of

y = \frac{x - 3}{9 x - 2} : \frac{d y}{d x} = \frac{25}{( 9 x - 2 ) ^{2}}

Compute the slope of

y = \frac{x - 3}{9 x - 2}

x = a_{0} : m = \frac{25}{( 9 a _{0} - 2 ) ^{2}}

Find the line with slope m=

\frac{25}{( 9 a _{0} - 2 ) ^{2}}

and passing through

(a_{0}, \frac{a _{0} - 3}{9 a _{0} - 2}) : y = \frac{25}{( 9 a _{0} - 2 ) ^{2}} x + \frac{9 a _{0}^{2} - 54 a _{0} + 6}{( 9 a _{0} - 2 ) ^{2}}

y = \frac{25}{( 9 a _{0} - 2 ) ^{2}} x + \frac{9 a _{0}^{2} - 54 a _{0} + 6}{( 9 a _{0} - 2 ) ^{2}}

(3 + 2 x^{- 1} y + 2 x^{- 1} y^{2}) d x + (1 + 2 y) d y = 0

\frac{6 x}{x + 8}, at x = 1

\int (5 sec^{2} (x)) d x

x \to 6 - lim (c x^{2} + 5 x)

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

What is the tangent of (x-3)/(9x-2) ?
The tangent of (x-3)/(9x-2) is y=(25)/((9a_{0)-2)^2}x+(9a_{0}^2-54a_{0}+6)/((9a_{0)-2)^2}