A Drone Pilot Explains Why You Like Rollercoasters | #substack #summer with a bit of #calculus . https://open.substack.com/pub/1testaccount/p/a-drone-pilot-explains-why-you-like?r=5po232&utm_campaign=post&utm_medium=web&showWelcomeOnShare=true

Semana decisiva do semestre, bora dar um último gás ✏️📖
#calculus

Differentiate y=1/sqrt(t) with respect to t using #sympy under #Python #N0 #Calculus

import sympy
t = sympy.symbols('t')
y = 1 / sympy.sqrt(t)
print(sympy.diff(y, t))

I didn't discover "emotional calculus," but I thought it would be appropriate to mention its existence.

#emotional
#calculus
🤔

@divbyzero

This is lovely, Dave! #mathematics #mathEducation #trig #trigonometry #math #maths #teaching #calculus

#meme #memes #funny #math #maths #calculus

@jenxofficial.bsky.social asked: TX for your interest! I use #ALText to be #fair ( #inclusion for the visually impaired) and because there are up to 8.3k characters, #authorsofBluesky can use! #actuallyautistic #autism #autismawareness #calculus #polynomials w/o #epsilon: bsky.app/profile/paul...!

RE: https://bsky.app/profile/did:plc:mucu5q72n6suoyi2ztrfeszm/post/3lqoifi5oos25

📈 So you thought you could dodge #calculus with a “conceptual” take on Euler's formula? 😂 Spoiler: it's just a fancy way to say you're still drowning in power series, but now with extra philosophy! 🧠🔄
http://www.deaneyang.com//blog/blog/math/exponential-function/euler-formula/2025/05/29/ExponentialFunctions.html #PowerSeries #Humor #MathPhilosophy #DrowningInMath #HackerNews #ngated

What's 1^infinity?

#math #calculus #algebra

https://m.youtube.com/watch?v=gaMd7hP8K54

#datascience cheatsheets for #python #probability #linearalgebra #calculus and #scipy

(Not necessarily in that order)

The Calculus: A Genetic Approach by Otto Toeplitz (PDF)
Author: Otto Toeplitz
File Type: PDF
Download at https://sci-books.com/the-calculus-a-genetic-approach-b07gl3jrmy/
#Calculus, #OttoToeplitz

Calculus and Analysis: A Combined Approach 1st Edition by Horst R. Beyer (PDF)
Author: Horst R. Beyer
File Type: PDF
Download at https://sci-books.com/calculus-and-analysis-a-combined-approach-1st-edition-0470617950/
#Calculus, #HorstR.Beyer

A real math problem:

"Consider a pizzeria that sell pizza for a revenue of 𝑅(𝑥) = 10𝑥 and a cost of 𝐶(𝑥) = 2𝑥 + 𝑥 dollars.

How many pizzas sold maximizes the profit?"

Answer: 4 pizzas.

It seems to me they don't really know how to make pizza if every pizza after the *fourth* eats into their profits.

#BusinessCalculus #calculus #math

I really should study manifolds. I feel like I'd unlock so much intuition behind 2d and 3d calculus if I got to understand them. Anyone got any textbook recommendations?

#math #calculus

Ordinary Differential Equations (Dover Books on Mathematics) by Edward L. Ince (PDF)
Author: Edward L. Ince
File Type: PDF
Download at https://sci-books.com/ordinary-differential-equations-dover-books-on-mathematics-b00ezdhv9q/
#Calculus, #EdwardL.Ince

Sometimes, you just gotta break out the #algebra and a touch of #calculus for a particular #led #circuit

At least, when you want to make sure you don't let out the magic smoke.

#electronics #circuits #lighting #schematic #math

Calculus: A Modern Approach (Dover Books on Mathematics) by Karl Menger (PDF)
Author: Karl Menger
File Type: PDF
Download at https://sci-books.com/calculus-a-modern-approach-dover-books-on-mathematics-b00ms49n5y/
#Calculus, #KarlMenger

USM really does slash the rote burden, chiefly because one handful of exponential/hyperbolic identities replaces a patchwork of separate trig, inverse-trig, radical and Euler recipes.

Article (draft): https://arxiv.org/abs/2505.03754

#math #calculus #integral #new #euler #arxiv #halfangleapproach #symmetrymatters

Integrals of inverse functions!

Proof without words (see image; credit: Jonathan Steinbuch, CC BY-SA 3.0, via Wikimedia Commons)...

For any montonic and invertible function \(f(x)\) in the interval \([a,b]\):
\[\displaystyle\int_a^bf(x)~ \mathrm dx+\int_{f(a)=c}^{f(b)=d}f^{-1}(x)~\mathrm dx=b\cdot f(b)-a\cdot f(a)=bd-ac\]

If \(F\) is an antiderivative of \(f\), then the antiderivatives of \(f^{-1}\) are:
\[\boxed{\displaystyle\int f^{-1}(y)~\mathrm dy=yf^{-1}(y)-F\circ f^{-1}(y)+C}\]
where \(C\) is an arbitrary constant (of integration), and \(\circ\) is the composition operator (function composition).

For example:
\[\begin{align*}\displaystyle\int \sin^{-1}(y) \, \mathrm dy &= y\sin^{-1}(y) - (-\cos(\sin^{-1}(y)))+C\\ &=y\sin^{-1}(y)+\sqrt{1-y^2}+C\end{align*}\]

\[\displaystyle\int \ln(y) \, dy = y\ln(y)-\exp(\ln(y)) + C= y\ln(y)-y + C.\]

#Function #InverseFunction #InverseFunctions #Functions #Integral #Integrals #Antiderivative #Integration #Calculus #FunctionComposition #CompositeFunction)

Lo, a problem in a business calculus textbook:

"Sarah is paid $500 for working up to 40 hours per week. For work beyond 40 hours per week she is paid $18/hour."

The neurotypical interpretation of the above specification results in Sarah *owing* the company money if she works less than 12.222... hours in a week.

I shit you not. The equation describing the specification above is:

Pay=18*(hrs-40)+500

:headache:

If you're a business calculus teacher, and you want to be taken seriously by your colleagues, you gotta do better than this.

#math #calculus #business #bullshit