en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tangent of 4-ln(x)

Solution

tangent of

4 - ln (x)

Solution

y = - \frac{1}{a _{0}} x - ln (a_{0}) + 5

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, 4 - ln (a_{0}))

Find the slope of

y = 4 - ln (x) : \frac{d y}{d x} = - \frac{1}{x}

Compute the slope of

y = 4 - ln (x)

at

x = a_{0} : m = - \frac{1}{a _{0}}

Find the line with slope m=

- \frac{1}{a _{0}}

and passing through

(a_{0}, 4 - ln (a_{0})) : y = - \frac{1}{a _{0}} x - ln (a_{0}) + 5

y = - \frac{1}{a _{0}} x - ln (a_{0}) + 5

Popular Examples

y^{''}+4y^'+40y=40cos(8t)

y^{^{''}} + 4 y^{^{'}} + 40 y = 40 cos (8 t)

(\partial)/(\partial x)(1/(3x))

\frac{\partial}{\partial x} (\frac{1}{3 x})

integral of 1+4x

\int 1 + 4 x d x

derivative of sec^2(9x)

\frac{d}{d x} (sec^{2} (9 x))

(\partial)/(\partial x)(1/(2x)arctan(y/x))

\frac{\partial}{\partial x} (\frac{1}{2 x} arctan (\frac{y}{x}))

Frequently Asked Questions (FAQ)

What is the tangent of 4-ln(x) ?
The tangent of 4-ln(x) is y=-1/(a_{0)}x-ln(a_{0})+5