∀x ∈ ℝ, (eˣ)' = eˣ

Earth
Joined January 2022
Math901
@MathMath901
13h
Replying to @mnd233445
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Math901
@MathMath901
13h
Green Area =32
Green area = ?
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Math901
@MathMath901
Sep 25
45°
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Math901
@MathMath901
Sep 25
Replying to @sonukg4india
45°
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Math901
@MathMath901
Sep 25
#math problem 25-09-2026 Prove without induction:
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Math901
@MathMath901
Sep 25
What this number mean? 2345678901 Found them on each book from Schaum series.
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1,765
Math901
@MathMath901
Sep 24
Anoche example: Solution; 1-1/e
If a large group randomly returns hats to their owners, the probability that no one gets their own hat approaches 𝟣∕𝑒 ≈ 𝟢.3𝟨𝟩𝟫 So a constant born from growth and calculus also appears naturally in a permutation problem.
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966
Math901
@MathMath901
Sep 24
#math Gauss analyzed the frequency with which prime numbers appear in the sequence of natural numbers; he designated the number of primes less than a given number x as the function π(x). He created a table in which the last column represents the average distance between prime numbers within a certain interval. Gauss then reasoned that, as x approaches very large values, x/π(x) tends toward ln(x); therefore: π(x) ≈ x/ln(x) This conjecture would be proven true a hundred years later.
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Math901
@MathMath901
Sep 24
Do you fell like those people when solving a math problem?
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Math901
@MathMath901
Sep 24
Replying to @VWolf83864177
Like the Peano curve (image below), the Hilbert curve is a fractal with a Hausdorff dimension of 2, as its iterative construction process allows it to completely fill the two-dimensional space.
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