Question

Partial Derivatives of $F(x,y,z)$ where $z = f(x,y)$

score 1.9k · Answer 1 · 2018-10-22 04:32:47

1.9k

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Partial Derivatives of $F(x,y,z)$ where $z = f(x,y)$

Published on 22 Oct 2018 - 4:32

score 27 · Answer 2 · 2018-10-22 18:01:51

27

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How do I use the definition of partial derivative to get $f_x(x,y) = \frac{y(y^2-x^2)}{(x^2 + y^2)^2}$?

Published on 22 Oct 2018 - 18:01

score 388 · Answer 3 · 2018-10-23 04:08:15

388

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The elevation on a portion of a hill is given by $f(x, y) = 100 − 4x^2 − 2y$. From the location above $(2, 1)$, in which direction will water run?

Published on 23 Oct 2018 - 4:08

score 229 · Answer 4 · 2018-10-23 13:53:47

229

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Functional Derivative, Calculus of Variations

Published on 23 Oct 2018 - 13:53

score 95 · Answer 5 · 2026-03-28 11:03:56

95

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Existence of solution of a 3-dimensional linear PDE.

Published on 28 Mar 2026 - 11:03

score 44 · Answer 6 · 2026-03-25 18:49:09

44

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Question on partial derivative with $w=w(x,y,z) and z=z(x,y)$

Published on 25 Mar 2026 - 18:49

score 52 · Answer 7 · 2018-10-24 19:29:33

52

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Calculate $\lim_{a \to 0}\frac{2^n-(2-a)(2-2^2a)(2-3^2a).....(2-n^2a)}{2^na}$

Published on 24 Oct 2018 - 19:29

score 142 · Answer 8 · 2018-10-25 02:57:13

142

Views

Partial derivative of $\sin(xz)$: Is this making sense and is it a proper use of notation?

Published on 25 Oct 2018 - 2:57

score 172 · Answer 9 · 2026-03-25 18:43:43

172

Views

Functions equal implies equal partial derivative.

Published on 25 Mar 2026 - 18:43

score 132 · Answer 10 · 2018-10-26 07:19:46

132

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Find the derivative (a) $\frac{\partial w}{\partial s}$, where $w = \frac{x-z}{y+z}$, $x =s + t$, $y = st$ and $z = s - t$

Published on 26 Oct 2018 - 7:19

score 34 · Answer 11 · 2018-10-26 11:01:53

34

Views

technical question in Partial differential equation

Published on 26 Oct 2018 - 11:01

score 96 · Answer 12 · 2026-03-25 07:41:52

96

Views

Nabla operation to cos and sin replacement

Published on 25 Mar 2026 - 7:41

score 97 · Answer 13 · 2026-03-25 09:43:16

97

Views

Use change of variables to reduce a PDE to $\frac{\partial v}{\partial r}=\frac{\partial^2v}{\partial x^2}+(k-1)\frac{\partial v}{\partial x}-kv$

Published on 25 Mar 2026 - 9:43

score 27 · Answer 14 · 2018-10-27 11:55:19

27

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Show $v(x,\tau)=e^{\frac{1}{2}(K-1)x-\frac{1}{4}(k+1)^2\tau}u(x,\tau)$

Published on 27 Oct 2018 - 11:55

score 623 · Answer 15 · 2026-03-25 06:01:24

623

Views

Partial derivative of cross-entropy

Published on 25 Mar 2026 - 6:01

List Question

Partial Derivatives of $F(x,y,z)$ where $z = f(x,y)$

How do I use the definition of partial derivative to get $f_x(x,y) = \frac{y(y^2-x^2)}{(x^2 + y^2)^2}$?

The elevation on a portion of a hill is given by $f(x, y) = 100 − 4x^2 − 2y$. From the location above $(2, 1)$, in which direction will water run?

Functional Derivative, Calculus of Variations

Existence of solution of a 3-dimensional linear PDE.

Question on partial derivative with $w=w(x,y,z) and z=z(x,y)$

Calculate $\lim_{a \to 0}\frac{2^n-(2-a)(2-2^2a)(2-3^2a).....(2-n^2a)}{2^na}$

Partial derivative of $\sin(xz)$: Is this making sense and is it a proper use of notation?

Functions equal implies equal partial derivative.

Find the derivative (a) $\frac{\partial w}{\partial s}$, where $w = \frac{x-z}{y+z}$, $x =s + t$, $y = st$ and $z = s - t$

technical question in Partial differential equation

Nabla operation to cos and sin replacement

Use change of variables to reduce a PDE to $\frac{\partial v}{\partial r}=\frac{\partial^2v}{\partial x^2}+(k-1)\frac{\partial v}{\partial x}-kv$

Show $v(x,\tau)=e^{\frac{1}{2}(K-1)x-\frac{1}{4}(k+1)^2\tau}u(x,\tau)$

Partial derivative of cross-entropy

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