A 03.06.04

TEST 2

Task 1 (8p) . Calculate the derivative of

a)
. b)

Task 2 (8p.) Find the limit

a)
. b)

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

is decreasing or increasing.

Task 4 (6p.). a) Determine the Taylor polynomial of the 3-rd degree for the function
around
.

b) Using the concept of the differential, find the approximate value of (0.99)^-7.

Task 5 (12p.) Find the antiderivatives of

a)
, b)
, c)
.

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