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Task 1. Find the derivatives of the second order for the functions:
а) 
b) 
The answer: а) 
; b) 
.
Task 2. Find 
, if 
The answer: 
.
Task 3. Find the differential of the second order for the function
The answer: 
;
Task 4. Find 
if 
. The answer: 
.
Task 5. Make the expansion of the polynomial 
in terms of the powers of the bynomial 
.
The answer: 
Task 6. If 
is a polynomial of the fourth degree. Calculate 
, if it is known 
.
The answer: 
Task 7. Calculate to within 
: a) 
; b) 
; c) 
.
The answer: a) 
; b) 
; c) 
.
Task 8. Using Maclaurin’s expansion calculate the limit 
.
The answer: 
.
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