MathProblemsBank

2.2.77 Derivatives and Differentials

\ (\ underline {\ text {Condition:}} \) Find derivatives. a) \ (y = \ frac {1} {\ sqrt {4-3 x}}+\ frac {x} {\ sqrt [4] {x ^{3} +5} \), b) \ (y = \ squrt [3] {\ cot {2} {2} {2} {2} {2} {2} \ frac {x} {3}} \) c) \ (y = \ ln \ sqrt [5] {\ frac {10} {e^{6 x} -e^{-6 x}} \), d) \ (y = \ frac {9} {9} {9} {9} {9} {9} {9} {9} {9} {9} {9} {9} \ operatorname {arccot} \ frac {9} {x} \), e) \ (x^{2} \ cdot \ sin 2 y-y^{2} \ cos 2 x = 10 \), e) \ ( \ left \ {\ begin {array} {c} x = \ ln \ cos ^{2} 2 t \\ y = \ sin ^{2} 2 t {arry} \ right.

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