What is the tangent of f(x)=6tan(x) ?

The tangent of f(x)=6tan(x) is y=6sec^2(a_{0})x+6tan(a_{0})-6sec^2(a_{0})a_{0}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of f(x)=6tan(x)

tangent of

f (x) = 6 tan (x)

y = 6 sec^{2} (a_{0}) x + 6 tan (a_{0}) - 6 sec^{2} (a_{0}) a_{0}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, 6 tan (a_{0}))

Find the slope of

f (x) = 6 tan (x) : \frac{df ( x )}{d x} = 6 sec^{2} (x)

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = 6 sec^{2} (a_{0})

Find the line with slope m=

6 sec^{2} (a_{0})

and passing through

(a_{0}, 6 tan (a_{0})) : y = 6 sec^{2} (a_{0}) x + 6 tan (a_{0}) - 6 sec^{2} (a_{0}) a_{0}

y = 6 sec^{2} (a_{0}) x + 6 tan (a_{0}) - 6 sec^{2} (a_{0}) a_{0}

What is the tangent of f(x)=6tan(x) ?
The tangent of f(x)=6tan(x) is y=6sec^2(a_{0})x+6tan(a_{0})-6sec^2(a_{0})a_{0}