MathProblemsBank

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 functions of one and many variables, including partial derivatives.

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