Consider the function defined by y = x^(sin(x)^sin(x)). Observe its graph. Find an increasing function which passes through each of its local maximums, and another increasing function which passes through each of its local minimums....
i added the solution to the post, i didnt see the multiplication before someone mentioned it, but yeah if we put it to the power of e it will telescope again, which is clearly the main character of this sub at this point (jk)
spoiler- Try show that for the statement to be true, the derivative has to be defined. - There are 2 definitions for the derivative, either would be useful in the proof
i showed the question to my friend who isnt particularly bright in maths, he said 30 by just looking at it, i freaked out a bit but it might just have been a lucky guess
Have you seen this font before? This is Computer Modern and it’s used everywhere from exams sheets to research papers, all because it is default font in popular typesetting language LaTeX, known for its ability to diplay maths equations, as well as being the de facto standard of writing articles in many fields of science....
[2024/05/18] Not a telescoping series (lemmy.world)
It is not
How the dinosaurs really died (lemmy.world)
Bounding a function (lemmy.world)
Consider the function defined by y = x^(sin(x)^sin(x)). Observe its graph. Find an increasing function which passes through each of its local maximums, and another increasing function which passes through each of its local minimums....
[Unsolved] [2024/05/17] 1 dimensional gravity (lemmy.world)
I’ve even got a starter question to get you guys into the scenario....
uranus (lemmy.world)
[2024/05/16] Infinite multiplication series (lemmy.world)
Show that the infinite multiplication (1+1/1)(1+1/2)(1+1/3)… does not converge.
[2024/05/15] Differentiability implies continuity (lemmy.world)
Show that if a function is differentiable for an interval, it is continuous over that interval....
Solve for x (lemmy.world)
(x/5)^log_b(5) - (x/6)^log_b(6) = 0
[2024/05/14] General differential equation (lemmy.world)
Express y in terms of x for differential equation dy/dx=ylny...
[2024/05/13] Irrational powers (lemmy.world)
Show that it’s possible a^b=c where a and b are irrational, and c is rational....
A Brief History of LaTeX - How it became so popular. (youtu.be)
Have you seen this font before? This is Computer Modern and it’s used everywhere from exams sheets to research papers, all because it is default font in popular typesetting language LaTeX, known for its ability to diplay maths equations, as well as being the de facto standard of writing articles in many fields of science....
making fun of windows is our most treasured tradition (lemmy.world)
[2024/05/09] Sum of n squares (lemmy.world)
Show that the sum of the first n squares is n(n+1)(2n+1)/6....