Find the intervals of increase and decrease of the function
f(x) = sinx + cosx

Find the intervals of increase and decrease of the function
f (x) = tan (x + π/3)

Find the minimum and maximum values of the function
f(x) = a cosx + b sinx;

Find the minimum value of the function

a) 0

b) 1

c) 2

d) 3

Test the function
f (x) = tanx + cot x where 0 < x <  for increasing and decreasing

a) ,

b)

c) ,

d) ,

Find the greatest value of the function

a) 0

b) 1

c) 2

d) 4

Find  if

a)

b)

c)

d)

Find  

a)

b)

c) 1

d) 5

Find if

a) 0

b) 1

c) 2

d) ∞

Find if

a)

b) 0

c) 1

d) −∞

Find if

a)

b)

c)

d) 0

Find if

a) 0

b) 1

c) 2

d) ∞

Find if

a)

b)

c) -

d)

Find if

a) 0

b) 1

c) 2

d) ∞

Find if

a) 0

b)

c)

d) −1

Find if

a) 0

b) – 2

c) – 1

d) 2

Find if  

a) 0

b) 1

c)

d)

Find the limit of the sequence with the general term
 

a) 0

b) 1

c) 2

d) 4

Taking the advantage of the theorem on the limit of a monotonic sequence prove the existence of a finite limit of the sequence
 

Find limit
 

a) 0

b) 1

c) 2

d) 4

Find the limit
 

a)

b)

c)

d)

Find the limit
 

a)

b)

c)

d)

Find the limit
 

a) 3

b) log_a3

c) 6

d) log_a6