What is the tangent of f(x)=5tan(x),\at x= pi/4 ?

The tangent of f(x)=5tan(x),\at x= pi/4 is y=10x+5-(5pi)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of f(x)=5tan(x),\at x= pi/4

tangent of

f (x) = 5 tan (x), at x = \frac{π}{4}

y = 10 x + 5 - \frac{5 π}{2}

Solution steps

Find the tangent point:

(\frac{π}{4}, 5)

Find the slope of

f (x) = 5 tan (x) : \frac{df ( x )}{d x} = 5 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 = 10

Find the line with slope m=

10

and passing through

(\frac{π}{4}, 5) : y = 10 x + 5 - \frac{5 π}{2}

y = 10 x + 5 - \frac{5 π}{2}

What is the tangent of f(x)=5tan(x),\at x= pi/4 ?
The tangent of f(x)=5tan(x),\at x= pi/4 is y=10x+5-(5pi)/2