B 03.06.03

TEST 2, AM I

Task 1 (5p) . Calculate the derivative of

.

Task 2 (7p.) Calculate the limit of

.

Task 3 (8p.) Find the largest and the smallest value of the function

on the interval
.

Task 4 (8p.). Using the Taylor polynomial of the 2-rd degree around point
for

calculate the approximate value of
.

Task 5 ( 6p.) Use the behavior of an appropriate function to show the following inequality

for
.

Task 6 (16p.) Calculate the following antiderivatives

a)
, b)
, c)
.

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