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)
Joined February 2025
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🚀 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. 🧵👇
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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)
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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
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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!
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?
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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
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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! ⬇️
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Happy VDay! Not all functions are smooth operators. 😏
If a function has:
✅ A corner (like |x| at x = 0)
✅ A cusp (like x^(2/3) at x = 0)
✅ A vertical tangent (like x^(1/3) at x = 0)
✅ A jump (discontinuity)
🚫 It’s NOT differentiable!
#Calculus #MathTwitter #ValentinesDay
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Two lovers start 10 ft apart vertically—one at the bottom of a street.
•Lover A is walking away (right) at 3 ft/sec. 🚶♂️💔
•Lover B is moving up the street toward Lover A at 2 ft/sec. 💞
📌 Question:
How fast is the distance between them, z, changing after 1 second?
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Happy Valentine’s Day ya’ll!
Our love is continuous & differentiable everywhere. ❤️💘
If it’s also exponential, what’s its derivative?
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I’ll be posting daily threads & problem breakdowns on:
•Limits & Derivatives
•Real-World Math Applications
•The Hardest Calculus Problems—Explained Simply
If you want to finally understand calculus, hit Follow. 🚀
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Follow me @TheCalcGuy for daily math insights & calculus deep dives.
Math shouldn’t be confusing. Let’s make it make sense. 🔥
(Drop a 3️⃣.1️⃣4️⃣ in the replies if you’re excited!)
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