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Differentiation and integration of elementary functions.

(1912–1972) was a prominent Soviet mathematician, professor, and pedagogue. He spent a significant portion of his career training the brightest minds of the Soviet scientific boom. Skanavi Pdf

Find all values of ( a ) for which the inequality ( 2^x + 2^-x \ge a(x^2 + 1) ) holds for all real ( x ). Differentiation and integration of elementary functions

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For general revision and base-level understanding.

Requires deeper logical thinking and more complex algebraic transformations. These are typical for entrance exams at prestigious technical institutes.