List questions from partial-derivative

723

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How would I find the direction of fastest increase of $f(x,y) = \sin(x + y)xy$ starting at $(-\frac{\pi}{2}, \frac{\pi}{2})$?

Published on 06 Aug 2016 - 8:27

6.2k

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Is a reciprocal partial derivative equal to the reciprocal of the partial derivative?

Published on 06 Aug 2016 - 20:34

28

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Taking $dx\to 0$ in expression to get PDE

Published on 06 Aug 2016 - 20:35

159

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How could I solve this chain rule problem?

Published on 30 Mar 2026 - 10:35

147

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Finding points that are closest and most far way from origin - using calculus

Published on 30 Mar 2026 - 4:00

1k

Views

Chain rule for 3rd derivative, multiple variables

Published on 30 Mar 2026 - 12:36

42

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What is happening with these partial derivatives?

Published on 10 Aug 2016 - 13:29

2.1k

Views

Partial derivative "evaluated at" notation vs. function parameter notation

Published on 11 Aug 2016 - 1:31

54

Views

Taylor series bound

Published on 12 Aug 2016 - 12:57

84

Views

How do I intuitively process what's physically going on with the Planar Laplace/Poisson equations?

Published on 28 Mar 2026 - 15:56

487

Views

Clarification of solution for Spivak Calculus on Manifolds Problem 2-35

Published on 14 Aug 2016 - 21:03

114

Views

Meaning of $||\nabla_x u||$

Published on 15 Aug 2016 - 7:04

83

Views

How to find an equation for all points $(x,y)$ for which $f(x,y)$ has a maximum rate of change in a direction parallel to a given vector $v$?

Published on 15 Aug 2016 - 13:13

716

Views

What is the vector Laplacian of a vector $AS$

Published on 29 Mar 2026 - 13:27

481

Views

Deriving $\frac{\partial (ABC)}{\partial B}$

Published on 03 Apr 2026 - 12:57

List Question

How would I find the direction of fastest increase of $f(x,y) = \sin(x + y)xy$ starting at $(-\frac{\pi}{2}, \frac{\pi}{2})$?

Is a reciprocal partial derivative equal to the reciprocal of the partial derivative?

Taking $dx\to 0$ in expression to get PDE

How could I solve this chain rule problem?

Finding points that are closest and most far way from origin - using calculus

Chain rule for 3rd derivative, multiple variables

What is happening with these partial derivatives?

Partial derivative "evaluated at" notation vs. function parameter notation

Taylor series bound

How do I intuitively process what's physically going on with the Planar Laplace/Poisson equations?

Clarification of solution for Spivak Calculus on Manifolds Problem 2-35

Meaning of $||\nabla_x u||$

How to find an equation for all points $(x,y)$ for which $f(x,y)$ has a maximum rate of change in a direction parallel to a given vector $v$?

What is the vector Laplacian of a vector $AS$

Deriving $\frac{\partial (ABC)}{\partial B}$

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