D 03.06.04

TEST 2

Task 1 (8p) . Calculate the derivative of the functions:

a)
b)

Task 2 (8p.) Find the limits

a)
. b)

Task 3 (6p.) Determine the intervals where the function

is increasing.

Task 4 (6p.) Find the Taylor polynomial of the 3-rd degree for the function
around the point
. Calculate an approximate value of
.

Task 5 (12p) Calculate the antiderivatives of

a)
, b)
, c)
.

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