What is the critical f(x)=2sec(x)-tan(x) ?

The critical f(x)=2sec(x)-tan(x) is x= pi/6+2pin,x=(5pi)/6+2pin

Popular >

critical f(x)=2sec(x)-tan(x)

critical points

f (x) = 2 sec (x) - tan (x)

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Solution steps

2 sec (x) - tan (x)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn, x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn

Identify critical points not in

f (x)

domain

Domain of

2 sec (x) - tan (x) : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

2 sec (x) - tan (x)

is not defined at

x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn

, therefore:

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

f (x) = (x^{2} - 3 x + 5) e^{\frac{- x}{3}}

f (x) = - 2 x^{3} + 15 x^{2} - 36 x + 7

f (x, y) = - x^{3} + 6 x y - 3 y^{2} + 5

(x - 3)^{3} - x^{2} + 6

\frac{26 x}{( x ^{2} + 4 ) ^{2}}

What is the critical f(x)=2sec(x)-tan(x) ?
The critical f(x)=2sec(x)-tan(x) is x= pi/6+2pin,x=(5pi)/6+2pin