What is the critical 2cos(t)+sin(2t) ?

The critical 2cos(t)+sin(2t) is t= pi/6+2pin,t=(5pi)/6+2pin,t=(3pi)/2+2pin

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critical 2cos(t)+sin(2t)

critical points

2 cos (t) + sin (2 t)

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

Solution steps

2 cos (t) + sin (2 t)

Find where

f^{'} (t)

is equal to zero or undefined

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

Identify critical points not in

f (t)

domain

Domain of

2 cos (t) + sin (2 t) : - \infty < t < \infty

All critical points are in domain

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

f (x) = x^{3} + 3 x^{2} - 4

f (x) = \frac{2}{x ^{2} - 4}

f (x) = \frac{( y - 3 )}{y ^{2} - 3 y + 9}

f (x) = x^{3} + 9 x^{2} - 48 x

f (x) = x - x

What is the critical 2cos(t)+sin(2t) ?
The critical 2cos(t)+sin(2t) is t= pi/6+2pin,t=(5pi)/6+2pin,t=(3pi)/2+2pin