Question

The graphs of $f(x,y)=x^2+y^2$ and $g(x,y)=-x^2-y^2+xy^3$ "are tangent to each other" at $(0,0)$

score 350 · Answer 1 · 2026-04-17 03:05:46

350

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The graphs of $f(x,y)=x^2+y^2$ and $g(x,y)=-x^2-y^2+xy^3$ "are tangent to each other" at $(0,0)$

Published on 17 Apr 2026 - 3:05

score 469 · Answer 2 · 2026-04-11 19:04:01

469

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Questions about partial derivative notation in Evan's PDE book

Published on 11 Apr 2026 - 19:04

score 88 · Answer 3 · 2026-04-12 03:18:11

88

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What variables does this partial derivative depend upon?

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score 973 · Answer 4 · 2026-04-12 17:02:04

973

Views

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score 1.9k · Answer 5 · 2026-04-11 06:33:15

1.9k

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score 116 · Answer 6 · 2026-04-11 21:08:21

116

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score 40 · Answer 7 · 2026-04-13 02:05:43

40

Views

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score 38 · Answer 8 · 2026-04-16 03:23:01

38

Views

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62

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181

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340

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score 1.1k · Answer 12 · 2026-04-15 17:52:05

1.1k

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score 53 · Answer 13 · 2026-04-11 14:20:13

53

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score 61 · Answer 14 · 2026-04-16 14:56:07

61

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score 1k · Answer 15 · 2026-04-12 17:08:16

1k

Views

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List Question

The graphs of $f(x,y)=x^2+y^2$ and $g(x,y)=-x^2-y^2+xy^3$ "are tangent to each other" at $(0,0)$

Questions about partial derivative notation in Evan's PDE book

What variables does this partial derivative depend upon?

What does the notation $\frac{\partial(x,y)}{\partial(u,v)}$ mean?

Finding most economical dimensions

Notation for a derivative

Partial Differential Equations Coefficients

Please check my calculations involving directional derivatives and gradient vectors

If $z^2 =f(x,y)$ then find $∂z/∂x$

Prove there exists a infinitely differentiable function whose value of partial derivatives of all orders at $0$ is a given function

partial differentiation and quotient rule

i'm looking for a proof of derivative of an inverse matrix

What does this clause in my question mean for finding maximum/minimum values?

Second partial derivatives (one seems strange)

Separation of variables for fourth order PDE

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