MathProblemsBank

2.2.32 Derivatives and Differentials

Condition: Find a derivative of these functions. The result is not to simplify. a) \ (y = \ arcsin 2 x- \ cot \ frac {2 x} {3}+\ frac {1} {4} +5 \ cdot e^{-x} \) \ (y = \ sqrt [5] {x} +5 \ ln \ left (1+x^{2} \ right)+\ sqrt {x} \ cdot \ operatorname {arccot}^{3} x \) \ c) ( y = \ frac {x^{4}} {3^{x} -1}+\ frac {1} {\ sqrt [3] {2-5 x}} \).

Calculation of derivatives and differentials of first and Higher Orders of Function of One and Many Varia Bybles, Including Partial Derivatives.