2.2.25 Derivatives and Differentials
\ (\ underline {\ text {Condition:}} \) Linearize the function \ (f (x, y, z) = \) \ (= e^{a x+b y}+\ sin \ frac {x+y+z} {5} \) in the vicinity of the point \ ( M_ {0} (-b; a; b-a) \), where \ (a = 4, b = 1 \).
Calculation of derivatives and differentials of first and Higher Orders of Function of One and Many Varia Bybles, Including Partial Derivatives.