B 03.06.04

TEST 2, AM I

Task 1 (8p). Calculate the derivative of

a)
. b)

Task 2 (8p) Calculate the limit of

a)
. b)

Task 3 (6p) Find the largest and the smallest value of the function

on the interval
.

Task 4 (6p) Using the Taylor polynomial of the 2-nd degree around point
for

calculate the approximate value of
.

Task 5 (12p.) Calculate the following antiderivatives

a)
, b)
, c)
.

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