Question

Showing $P_{n+1}(x)=x^2(P_n(x)-\frac{\mathrm d}{\mathrm dx}P_n(x))$ where $P_n$ is a polynomial of degree $n$

score 81 · Answer 1 · 2026-04-16 22:56:03

81

Views

Showing $P_{n+1}(x)=x^2(P_n(x)-\frac{\mathrm d}{\mathrm dx}P_n(x))$ where $P_n$ is a polynomial of degree $n$

Published on 16 Apr 2026 - 22:56

score 49 · Answer 2 · 2026-04-16 13:00:01

49

Views

If $f'$ changes sign on both sides of a specific point $x_0$, then $f$ has an extremum at that point $x_0$.

Published on 16 Apr 2026 - 13:00

score 225 · Answer 3 · 2026-04-16 14:48:40

225

Views

Convergence concerning the $\alpha$th derivative of $f(x)=x^\alpha-\alpha^x$

Published on 16 Apr 2026 - 14:48

score 253 · Answer 4 · 2026-04-13 12:59:10

253

Views

Are there any other fields other than $\mathbb{R},\mathbb{C}$, rich enough to have analysis built on them?

Published on 13 Apr 2026 - 12:59

score 183 · Answer 5 · 2026-04-11 09:24:36

183

Views

Intermediate Value Theorem and Fundamental Theorem of Calculus question

Published on 11 Apr 2026 - 9:24

score 58 · Answer 6 · 2026-04-09 04:20:44

58

Views

Is the function is differentiable at $0$?

Published on 09 Apr 2026 - 4:20

score 36 · Answer 7 · 2026-04-10 06:50:48

36

Views

what is the best approach to show that F is complex differentiable?

Published on 10 Apr 2026 - 6:50

score 340 · Answer 8 · 2026-04-09 13:32:36

340

Views

Euler Differential Equation General Solution

Published on 09 Apr 2026 - 13:32

score 108 · Answer 9 · 2026-04-14 07:18:11

108

Views

Why $\frac{dx}{dt}$ not $\frac{\partial x}{\partial t}$ in $\frac{d}{dt}\big(f(t,x(t),y(t)\big)$?

Published on 14 Apr 2026 - 7:18

score 5.9k · Answer 10 · 2026-04-14 07:46:22

the volume of the expanding cube is increasing at the rate of $24 cm^3/min$, how fast is the surface area increasing when surface area is $216cm^2$?

score 3.9k · Answer 11 · 2026-04-10 17:58:09

3.9k

Views

Showing Bounded Derivative $\implies$ Lipschitz Function (Uniformly Continuous)

Published on 10 Apr 2026 - 17:58

score 55 · Answer 12 · 2026-04-17 02:58:15

55

Views

Showing that $\sqrt{f(x)}\ge \sqrt{f(1)}+\frac{1}{2}(x-1) \space \forall \space x\ge 1$ if $f^{'}(t)\ge \sqrt{f(t)}$ for all $t$

Published on 17 Apr 2026 - 2:58

score 1k · Answer 13 · 2026-04-15 02:52:08

1k

Views

Two cars start at the same time from the junction of two roads one on each road with the uniform speed of $v m/sec$.

Published on 15 Apr 2026 - 2:52

score 74 · Answer 14 · 2026-04-12 20:29:46

74

Views

Why is $(4x)' \neq 1$?

Published on 12 Apr 2026 - 20:29

score 233 · Answer 15 · 2026-04-15 06:47:34

233

Views

Derivative of squared Frobenius norm of linear combination of rank-$1$ matrices with respect to their weights

Published on 15 Apr 2026 - 6:47

List Question

Showing $P_{n+1}(x)=x^2(P_n(x)-\frac{\mathrm d}{\mathrm dx}P_n(x))$ where $P_n$ is a polynomial of degree $n$

If $f'$ changes sign on both sides of a specific point $x_0$, then $f$ has an extremum at that point $x_0$.

Convergence concerning the $\alpha$th derivative of $f(x)=x^\alpha-\alpha^x$

Are there any other fields other than $\mathbb{R},\mathbb{C}$, rich enough to have analysis built on them?

Intermediate Value Theorem and Fundamental Theorem of Calculus question

Is the function is differentiable at $0$?

what is the best approach to show that F is complex differentiable?

Euler Differential Equation General Solution

Why $\frac{dx}{dt}$ not $\frac{\partial x}{\partial t}$ in $\frac{d}{dt}\big(f(t,x(t),y(t)\big)$?

the volume of the expanding cube is increasing at the rate of $24 cm^3/min$, how fast is the surface area increasing when surface area is $216cm^2$?

Showing Bounded Derivative $\implies$ Lipschitz Function (Uniformly Continuous)

Showing that $\sqrt{f(x)}\ge \sqrt{f(1)}+\frac{1}{2}(x-1) \space \forall \space x\ge 1$ if $f^{'}(t)\ge \sqrt{f(t)}$ for all $t$

Two cars start at the same time from the junction of two roads one on each road with the uniform speed of $v m/sec$.

Why is $(4x)' \neq 1$?

Derivative of squared Frobenius norm of linear combination of rank-$1$ matrices with respect to their weights

Trending Questions

Popular # Hahtags

Popular Questions