Question

Functional equation $f(x+y) = f(x)e^y+ f(y)e^x + 2xye^x e^y$

score 137 · Answer 1 · 2026-04-11 23:28:11

137

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Functional equation $f(x+y) = f(x)e^y+ f(y)e^x + 2xye^x e^y$

Published on 11 Apr 2026 - 23:28

score 488 · Answer 2 · 2026-04-12 13:59:24

488

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Derivative of Complex/Irrational Exponents

Published on 12 Apr 2026 - 13:59

score 21 · Answer 3 · 2026-04-30 09:47:56

21

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change ratio exercise

Published on 30 Apr 2026 - 9:47

score 31 · Answer 4 · 2026-04-14 14:40:04

31

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Calculating the derivative of a function that comprises of two other functions, partial derivatives

Published on 14 Apr 2026 - 14:40

score 94 · Answer 5 · 2026-04-14 20:17:01

94

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Suppose $f : \mathbb{R} \rightarrow \mathbb{R}$ is a function with the following properties

Published on 14 Apr 2026 - 20:17

score 2.3k · Answer 6 · 2026-04-15 16:04:04

2.3k

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Consider the function g(x)=cos(f(x)) and its derivative. How are g′(x) and f′(x) related to each other?

Published on 15 Apr 2026 - 16:04

score 64 · Answer 7 · 2026-04-16 02:35:07

64

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Taking the gradient of $||\nabla f(x) - p||$ with respect to $x$ and $p$

Published on 16 Apr 2026 - 2:35

score 60 · Answer 8 · 2026-04-11 11:34:00

60

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What are some visually appealing derivatives?

Published on 11 Apr 2026 - 11:34

score 71 · Answer 9 · 2026-04-08 18:01:54

71

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How to use limit definition to find derivative with a radical

Published on 08 Apr 2026 - 18:01

score 391 · Answer 10 · 2026-04-16 15:59:36

391

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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 16 Apr 2026 - 15:59

score 84 · Answer 11 · 2026-04-15 00:05:03

84

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Proving that $f(x) = \log(1 +x^2)$ is less than $|f'(x)|$ in a small neighbourhood around $0$

Published on 15 Apr 2026 - 0:05

score 162 · Answer 12 · 2026-04-11 09:17:16

162

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Why is it difficult to define integral although it's easy to define differentiation?

Published on 11 Apr 2026 - 9:17

score 41 · Answer 13 · 2026-04-10 20:04:06

41

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Examine for differentiability at the point multivariable function

Published on 10 Apr 2026 - 20:04

score 3.1k · Answer 14 · 2026-04-11 14:01:34

3.1k

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What is the difference between differentiability of a function and continuity of its derivative?

Published on 11 Apr 2026 - 14:01

score 979 · Answer 15 · 2026-04-14 00:43:13

979

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General Leibniz Rule, and multi-index notation

Published on 14 Apr 2026 - 0:43

List Question

Functional equation $f(x+y) = f(x)e^y+ f(y)e^x + 2xye^x e^y$

Derivative of Complex/Irrational Exponents

change ratio exercise

Calculating the derivative of a function that comprises of two other functions, partial derivatives

Suppose $f : \mathbb{R} \rightarrow \mathbb{R}$ is a function with the following properties

Consider the function g(x)=cos(f(x)) and its derivative. How are g′(x) and f′(x) related to each other?

Taking the gradient of $||\nabla f(x) - p||$ with respect to $x$ and $p$

What are some visually appealing derivatives?

How to use limit definition to find derivative with a radical

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?

Proving that $f(x) = \log(1 +x^2)$ is less than $|f'(x)|$ in a small neighbourhood around $0$

Why is it difficult to define integral although it's easy to define differentiation?

Examine for differentiability at the point multivariable function

What is the difference between differentiability of a function and continuity of its derivative?

General Leibniz Rule, and multi-index notation

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