Pîrlog Gabriel, BA-245
17
I. Find the domain of the function, use a 3D graphics program to generate the graph of the
function:
Site address: https://www.wolframalpha.com/input?i=arccos%28x%2B2y%29+domain
II. Find the partial derivatives and the total differential:
Site address: https://www.wolframalpha.com/input?i=ln%28Sqrt%5Bxy%5D-1%29+
III. Find the value of the total derivative of u=u(x,y) function if x=x(t), y=y(t) where t=t0 :
1
,Site address: https://www.mathgptpro.com/app/ask?u=be6e7f08-a201-4bde-87a2-
2708aa49a6cf1733162401314&p=1
2
, IV. Find mixed part derivatives and prove that these are equal.
Site address: https://www.derivative-calculator.net/
𝑧 ′𝑥 =
3