TS EAMCET · Maths · Functions
\(\begin{aligned} & f(x, y)=2(x-y)^2-x^4-y^4 \ & \left|\left(f_{x x} f_{y y}-f_{x y}^2\right)\right|_{(0,0)}\end{aligned}\)
- A \(32\)
- B \(16\)
- C \(0\)
- D \(-1\)
Answer & Solution
Correct Answer
(C) \(0\)
Step-by-step Solution
Detailed explanation
Given that, \[ f(x, y)=2(x-y)^2-x^4-y^4, \text { we get } \] On differentiating partially w.r.t. \(x\), \[ f_x=4(x-y)-4 x^3 \] Again differentiating partially, we get…
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