The Calculus Guy

🚀 You don’t understand calculus. But that’s not your fault. Most people are taught math wrong—memorizing formulas instead of understanding them. I’m here to change that. 🧵👇

@mathladyhazel Woah! Moving to Canada! 😂

@ppwinie Blessed 👏

may the calculus gods bless you with immense knowledge🪄✨ susu!! //also…have fun🤣

@bbY_muncH Calculus isn’t so bad - you’ve got this. Physics, though 👀 (lol jk jk)

I have to take physics and calculus… is it hard? I’m dreading it and semester didn’t even start yet.

Not all derivatives are created equal. ✅ f’(x) > 0 → Function is increasing 📈 ✅ f’(x) < 0 → Function is decreasing 📉 ✅ f’(x) = 0 → Possible max, min, or plateau 💡The derivative isn’t just math—it’s the key to understanding how things change. #Calculus #Math #STEM

@hateecd Sorry :(

i hate u calculus

@mabrumley Shameless plug but I’m hoping to maintain this account and casually get Calculus knowledge out there to the masses in easily digestible tweets. If you think this is cool, I’d love a follow and a RT or two. Either way, I hope you eventually get back to it!

I wish I’d kept up with mathematics. Calculus was long ago in a galaxy far, far away. Maybe one day I’ll get to go back and retrieve some of it. We will see. Sigh.

✅ Even for complicated equations, implicit differentiation gets us the derivative fast! Hope this primer was helpful!

Example 2: A Trickier Function Find dy/dx for: x^2y + y^3 = 7 Apply product rule to x^2y and differentiate y^3 : (2xy + x^2y’) + (3y^2y’)= 0 Isolate terms with y’: x^2 y’+ 3y^2y’ = -2xy (x^2 + 3y^2)y’ = -2xy Solve for y’: y’= (-2xy)/(x^2 + 3y^2)

Implicit Differentiation Made Simple 🚀 Sometimes, we can’t solve for y explicitly, but we can still find dy/dx with implicit differentiation. The trick is: whenever you take the derivative of a term with a “y” involved, tack on y’! Let’s break it down: #Calculus #Math #STEM

@meltingmagics 35 y’all. The cherry in the final picture is technically different. 15 + 15 = 30 10 + 10 = 20 (so each single cherry is 5) 4 + 4 = 8 15 + 5*4 = 35. Throw me a follow if I blew your mind 🤯 lol

Find the Ans.

Mondays are just an optimization problem: •Minimize effort 📉 •Maximize coffee intake ☕📈 •Solve for Friday 😩➡️🎉 Who else is struggling to find the global minimum today? 😅 #Math #Optimization #MondayMood #STEM

@szasupremacist I don’t believe it is true. On the right should be: 7x + 20y = 14 -2x + 10y = -4

so can someone explain how this is true

C! The derivative of e^(2x) is 2e^(2x) using basic chain rule. But for a fun proof using product rule (fg)’ = f’g + fg’… Note that (e^(2x))’ = (e^x e^x)’ = (e^x)’(e^x) + (e^x)(e^x)’ = (e^x)(e^x) + (e^x)(e^x) = e^(2x) + e^(2x) = 2e^(2x) Cool!

@PinoyBIX dy/dx=(x/2)’ + (sin(2x)/4)’ dy/dx=1/2 + 2cos(2x)/4 dy/dx=1/2 + (1/2)cos(2x) dy/dx=0, so 1/2 + (1/2)cos(2x)=0 1 + cos(2x)=0 cos(2x)=-1 whenever 2x is (odd integer)*pi, so whenever x is odd integer*pi/2 B, and many more values. If you like the solution, like & follow for more!

Solution: If y = x/2 + (sin2x)/4; find x for which dy/dx = 0 pinoybix.org/?p=67399 Problem Statement: Mathematics Differential Calculus: Find x Problem Solving If y = x/2 + (sin2x)/4; find x for which dy/dx = 0. A. π/4 B. π/2 C. π/3 D. π/6 Problem Answer: The

@GuapfromDao @wesleylots You’ve got it though!

@wesleylots Calculus

Why are you still up?

What’s the derivative of e^(2x)? A) e^(2x) B) e^(2x-1) C) 2e^(2x) D) 2e^(2x-1) Hard mode: can you verify your answer using the product rule?

•In math, derivatives measure change. •In finance, derivatives hedge risk. •In life, small changes today compound into big results tomorrow. Mastering derivatives—it’s about understanding how things evolve. #Finance #Calculus #Derivatives #STEM

@aviralbhat Calculus the GOAT

Things that you should study to expand your thinking: - Calculus - Quantum Physics - Linear Algebra - Probability Teaches you abstract thinking as well as being comfortable with the counterintuitiveness of the world

The Two Egg Problem 🥚🥚🏢 You have two identical eggs and a 100-story building. Your goal? Find the highest floor from which an egg can be dropped without breaking. What’s the optimal strategy, and what’s the worst-case number of drops? Think carefully before answering! ⬇️