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109/1000, first derivative exists but NOT the second derivative

• bprp calculus b… 오래 전 2026.08.24 16:00 인기
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@vikramrawat526… 　오래 전

Day 109

2026-08-24 19:53

[ytcid:UgzZbm0QXmzmuEVZNdV4AaABAg] Day 109



@مطبخالشاطرسراج 　오래 전

A trivial fact that the first function could shortly be written as: f(x) = x*|x|/2

And it is the indefinite integral of |x

2026-08-24 17:58

[ytcid:UgzHHEyc7a_biAJO-DJ4AaABAg] A trivial fact that the first function could shortly be written as: f(x) = x*|x|/2 And it is the indefinite integral of |x



@ImadAjjaj 　오래 전

Day 109 ?

2026-08-24 17:47

[ytcid:UgzoQ1ddppwk9vvujm54AaABAg] Day 109 ?



@danieltorn4392 　오래 전

X>=0 so f''(0)=1 right ?!

2026-08-24 17:32

[ytcid:Ugy9xBUcEUe7vVtDspN4AaABAg] X>=0 so f''(0)=1 right ?!



@IraqiKombat_27 　오래 전

I made this formula
DeltaL = DeltaY - DeltaX
DeltaY = Y_2 - Y_1
DeltaX = X_2 - X_1
Let Y is f(x) and X_2 = X_1 + h
DeltaL(x) = [f(x + h) - f(x)] - [h]
It is like derivative but with no limits {h = 1 so DeltaL(x) = f(x + 1) - f(x) - 1}

2026-08-24 16:43

[ytcid:UgwuGBNFDkdGcjOCoGl4AaABAg] I made this formula DeltaL = DeltaY - DeltaX DeltaY = Y_2 - Y_1 DeltaX = X_2 - X_1 Let Y is f(x) and X_2 = X_1 + h DeltaL(x) = [f(x + h) - f(x)] - [h] It is like derivative but with no limits {h = 1 so DeltaL(x) = f(x + 1) - f(x) - 1}



@BrianOxleyTexa… 　오래 전

Might be instructive to show more non-differentiable examples. I'm not sure, but isn't the measure of differentiable functions zero compared to all functions?

2026-08-25 06:33

[ytcid:UgzHKVK62xkHJQfdpB54AaABAg] Might be instructive to show more non-differentiable examples. I'm not sure, but isn't the measure of differentiable functions zero compared to all functions?



@chrisglosser73… 　오래 전

Use the limit definition to show that it DNE

2026-08-25 04:08

[ytcid:UgxLVQGlW6FyWwprCF14AaABAg] Use the limit definition to show that it DNE



@hail-hydra-911 　오래 전

Why is continuity and differentiability the key for everything

2026-08-25 02:00

[ytcid:UgyC7JkHpNKgrFLelVp4AaABAg] Why is continuity and differentiability the key for everything



@HL-iw1du 　오래 전

Defined

2026-08-24 23:52

[ytcid:Ugx0wF__CrzxPEwIKN54AaABAg] Defined