The Calculus Guy

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)

[The Calculus Guy @TheCalcGuy]

🚀 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. 🧵👇

[The Calculus Guy @TheCalcGuy]

@mathladyhazel Woah! Moving to Canada! 😂

[The Calculus Guy @TheCalcGuy]

@ppwinie Blessed 👏

[The Calculus Guy @TheCalcGuy]

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

[The Calculus Guy @TheCalcGuy]

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

[The Calculus Guy @TheCalcGuy]

@hateecd Sorry :(

[The Calculus Guy @TheCalcGuy]

@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!

[The Calculus Guy @TheCalcGuy]

✅ Even for complicated equations, implicit differentiation gets us the derivative fast!

Hope this primer was helpful!

[The Calculus Guy @TheCalcGuy]

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

[The Calculus Guy @TheCalcGuy]

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)

[The Calculus Guy @TheCalcGuy]

@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

[The Calculus Guy @TheCalcGuy]

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

[The Calculus Guy @TheCalcGuy]

@szasupremacist I don’t believe it is true. On the right should be:

7x + 20y = 14
-2x + 10y = -4

[The Calculus Guy @TheCalcGuy]

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!

[The Calculus Guy @TheCalcGuy]

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?

[The Calculus Guy @TheCalcGuy]

@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!

[The Calculus Guy @TheCalcGuy]

@GuapfromDao @wesleylots You’ve got it though!

[The Calculus Guy @TheCalcGuy]

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?

[The Calculus Guy @TheCalcGuy]

•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 Calculus Guy @TheCalcGuy]

@aviralbhat Calculus the GOAT

[The Calculus Guy @TheCalcGuy]

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! ⬇️