Question

Taylor series for $\frac{x^2 - 4x + 4}{2x^2 - 8x + 5}$ at $x = 2$

score 68 · Answer 1 · 2026-04-16 12:05:52

68

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Taylor series for $\frac{x^2 - 4x + 4}{2x^2 - 8x + 5}$ at $x = 2$

Published on 16 Apr 2026 - 12:05

score 48 · Answer 2 · 2026-04-11 18:48:07

48

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Does $f$ have a second derivative at $0$?

Published on 11 Apr 2026 - 18:48

score 47 · Answer 3 · 2026-04-16 15:52:33

47

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if $f(x)=x^3+ax^2+bx$,show that $g'(x_{1})=0$

Published on 16 Apr 2026 - 15:52

score 132 · Answer 4 · 2026-04-14 11:32:38

132

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Derivative of $y=(1-\sin x)^e$?

Published on 14 Apr 2026 - 11:32

score 1.3k · Answer 5 · 2026-04-11 03:22:16

1.3k

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Maximum rate of increase- Directional derivatives

Published on 11 Apr 2026 - 3:22

score 961 · Answer 6 · 2026-04-10 21:50:16

961

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Finding the n-th derivative of a rational function

Published on 10 Apr 2026 - 21:50

score 96 · Answer 7 · 2026-04-16 12:52:34

96

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One missing ingredient to show that $F(z)=\frac{f(z)-f(z_0)}{z-z_0}$ with $F(z_0) = f'(z_0)$ is analytic.

Published on 16 Apr 2026 - 12:52

score 69 · Answer 8 · 2026-04-16 08:37:11

69

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Find the maximum of $B = \sin(x) + \cos(x) + 2\sin(2x).$

Published on 16 Apr 2026 - 8:37

score 55 · Answer 9 · 2026-04-09 03:06:22

55

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Question on Derivatives Real Analysis

Published on 09 Apr 2026 - 3:06

score 10k · Answer 10 · 2026-04-11 21:49:35

10k

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Can you take the derivative of a function at infinity?

Published on 11 Apr 2026 - 21:49

score 40 · Answer 11 · 2026-04-13 04:12:15

40

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Does a sequence of derivatives takes on its limiting value?

Published on 13 Apr 2026 - 4:12

score 106 · Answer 12 · 2026-04-13 08:15:46

106

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Proving the existence of Pi with Derivatives and Sequences Only

Published on 13 Apr 2026 - 8:15

score 59 · Answer 13 · 2026-04-17 12:25:54

59

Views

Show: for twice differentiable function $f:[a,b] \rightarrow \mathbb{R}^p$ $s \mapsto t(s)$ is differentiable 1x. $t(s):=\frac{1}{||f'(s)||_2}f'(s)$

Published on 17 Apr 2026 - 12:25

score 75 · Answer 14 · 2026-04-16 05:30:02

75

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Prove $f'(x) = 2 f(x)$ if $f(x+y) = f(x) f(y)$, $f(x) \ne 0$ and $f'(0) = 2$.

Published on 16 Apr 2026 - 5:30

score 49 · Answer 15 · 2026-04-15 19:04:26

49

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Finding a derivative with $\log$

Published on 15 Apr 2026 - 19:04

List Question

Taylor series for $\frac{x^2 - 4x + 4}{2x^2 - 8x + 5}$ at $x = 2$

Does $f$ have a second derivative at $0$?

if $f(x)=x^3+ax^2+bx$,show that $g'(x_{1})=0$

Derivative of $y=(1-\sin x)^e$?

Maximum rate of increase- Directional derivatives

Finding the n-th derivative of a rational function

One missing ingredient to show that $F(z)=\frac{f(z)-f(z_0)}{z-z_0}$ with $F(z_0) = f'(z_0)$ is analytic.

Find the maximum of $B = \sin(x) + \cos(x) + 2\sin(2x).$

Question on Derivatives Real Analysis

Can you take the derivative of a function at infinity?

Does a sequence of derivatives takes on its limiting value?

Proving the existence of Pi with Derivatives and Sequences Only

Show: for twice differentiable function $f:[a,b] \rightarrow \mathbb{R}^p$ $s \mapsto t(s)$ is differentiable 1x. $t(s):=\frac{1}{||f'(s)||_2}f'(s)$

Prove $f'(x) = 2 f(x)$ if $f(x+y) = f(x) f(y)$, $f(x) \ne 0$ and $f'(0) = 2$.

Finding a derivative with $\log$

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