Math is hard. I make it easier. Explaining math the way it should be taught! (If you follow, there is a chance I will answer your calculus question for free)
🚀 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. 🧵👇
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
@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!
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
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
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!
•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
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! ⬇️