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Is it possible for the derivative of a function to grow arbitrarily faster than the function itself?

score 9.2k · Answer 1 · 2026-04-25 11:48:12

9.2k

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Is it possible for the derivative of a function to grow arbitrarily faster than the function itself?

Published on 25 Apr 2026 - 11:48

score 222 · Answer 2 · 2026-04-12 02:08:06

222

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Function positively homogeneous and $k$-linear forms.

Published on 12 Apr 2026 - 2:08

score 248 · Answer 3 · 2026-04-17 07:04:44

248

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Are there functions that satisfy the following properties?

Published on 17 Apr 2026 - 7:04

score 148 · Answer 4 · 2026-04-16 20:57:36

148

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$f(z)=|z|^2+z$. Find analytic function $g(z)$ such that $f+g$ is analytic

Published on 16 Apr 2026 - 20:57

score 202 · Answer 5 · 2026-04-26 18:07:10

202

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Verification of proof on Bounded Variation.

Published on 26 Apr 2026 - 18:07

score 136 · Answer 6 · 2026-04-24 03:55:03

136

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Prob. 2 (b), Sec. 8.14, in Apostol's CALCULUS Vol 2: How to find the directional derivative of this scalar field?

Published on 24 Apr 2026 - 3:55

score 59 · Answer 7 · 2026-04-10 02:20:21

59

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differentiation boundary of integral

Published on 10 Apr 2026 - 2:20

score 1.5k · Answer 8 · 2026-04-14 11:24:13

1.5k

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Lyapunov first method and Lyapunov function

Published on 14 Apr 2026 - 11:24

score 3k · Answer 9 · 2026-04-14 21:01:35

3k

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BAC─CAB rule used on del operators

Published on 14 Apr 2026 - 21:01

score 123 · Answer 10 · 2026-04-24 03:49:51

123

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Does this formula for directional derivative always hold as long as all the partials exist?

Published on 24 Apr 2026 - 3:49

score 9.8k · Answer 11 · 2026-04-14 06:11:03

9.8k

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Differentiation of 5^x

Published on 14 Apr 2026 - 6:11

score 82 · Answer 12 · 2026-04-10 22:49:02

82

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Complex Analysis: Complex Integral

Published on 10 Apr 2026 - 22:49

score 46 · Answer 13 · 2026-04-16 14:45:35

46

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what is the necessary and sufficient condition $f^{g(x)}(x)$ to be differentiable at $x$

Published on 16 Apr 2026 - 14:45

score 314 · Answer 14 · 2026-04-24 03:55:15

314

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Prob. 3, Exercises 8.14, in Apostol's CALCULUS Vol. 2: Find the point(s) and the direction(s) of maximum directional derivative of this scalar field

Published on 24 Apr 2026 - 3:55

score 112 · Answer 15 · 2026-04-09 02:05:51

112

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Differential equation using differential operator method

Published on 09 Apr 2026 - 2:05

List Question

Is it possible for the derivative of a function to grow arbitrarily faster than the function itself?

Function positively homogeneous and $k$-linear forms.

Are there functions that satisfy the following properties?

$f(z)=|z|^2+z$. Find analytic function $g(z)$ such that $f+g$ is analytic

Verification of proof on Bounded Variation.

Prob. 2 (b), Sec. 8.14, in Apostol's CALCULUS Vol 2: How to find the directional derivative of this scalar field?

differentiation boundary of integral

Lyapunov first method and Lyapunov function

BAC─CAB rule used on del operators

Does this formula for directional derivative always hold as long as all the partials exist?

Differentiation of 5^x

Complex Analysis: Complex Integral

what is the necessary and sufficient condition $f^{g(x)}(x)$ to be differentiable at $x$

Prob. 3, Exercises 8.14, in Apostol's CALCULUS Vol. 2: Find the point(s) and the direction(s) of maximum directional derivative of this scalar field

Differential equation using differential operator method

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