An MIT professor spent an entire lecture explaining one idea that quietly runs physics, engineering, and finance: derivatives don't predict the future. They measure change.
A derivative is simply the instantaneous rate of change.
Distance becomes speed.
Charge becomes current.
Temperature becomes a gradient.
Then he makes it painfully concrete.
A pumpkin falls from an 80-meter building.
Its average speed is 20 m/s.
But at the moment it hits the ground?
40 m/s.
That's the difference between averaging what happened and knowing what is happening right now.
Then he applies the same idea to GPS.
A satellite measures distance with some error. Calculus tells you how that error translates into an error in your position.
The math is simple.
The consequences aren't.
And that's the real lesson.
Most people see calculus as complicated formulas.
Experts see it as a language for answering one question:
How much does one thing change when another thing changes?
In his new essay, @BillGates writes that AI could “give people back some of the time and attention” consumed by paperwork and bureaucracy. In education, he says AI should preserve “productive struggle.” And he warns that AI companions that are always available and agreeable can keep young people from developing the resilience and social skills we learn through real relationships.
Bill asks, “And how do we preserve our humanity through all of this?”
AI should remove the friction that drains us and preserve the friction that helps us grow. That means building tools that strengthen our critical thinking, our agency and our relationships with other people.
AI that only flatters us is junk food for the mind. As AI becomes more intelligent, we need to ask what kind of humans it is helping us become.
Read Bill’s full essay: https://t.co/VN7uwpa5RA
For 50 years I pushed an incredibly simple message. Put people REALLY first. Listen listen listen to your customers. Try new shit all the time and rejoice in your screw ups. Be incredible community members. And, always… EXCELLENCE.
Warren Buffett on happiness and being positive.
"I don't know whether you're born, to some extent, that way — but you certainly see that it works. Take the people you know. The ones who are sour at the world, the world gets sour on."
"You're going to have a better experience in life if, basically, you see the positive side of things. People will see the positive things in you at that point."
Revenue generated per day:
Amazon: $2.2 billion
Alphabet: $1.3 billion
Apple: $1.2 billion
Nvidia: $1.1 billion
Microsoft: $1 billion
Meta: $676 million
Tesla: $314 million
Broadcom: $247 million
Uber: $158 million
Netflix: $140 million
Visa: $129 million
AMD: $128 million
I love spending time around people who show real enthusiasm. It doesn't even matter what they show it for. Just genuine excitement. For people, ideas, and moments. For life. I think it's because I realize it takes courage to care so openly. Enthusiasm is contagious.
Write up all the positive things in your life that you tend to take for granted: the people who have been kind and helpful to you, the health that you presently enjoy.
Gratitude is a muscle that requires exercise or it will atrophy.
Had a mentor tell me once: "Over-communicate. Don't make people guess where you are or what you need. That's 90% of being easy to work with." Simple updates prevent most drama. Boss, partners, friends, doesn't matter. Make it obvious.
6 Simple Steps to Improve Your Life:
1. Sleep
2. Exercise
3. Don’t eat garbage
4. Talk to a friend
5. Be productive for a few hours
6. Repeat every day for years and years and you’re set.
Forbes’ list of the highest paid tennis players of 2026 is out.
Jannik Sinner and Serena Williams are the highest paid male and female tennis players this year.
1. Jannik Sinner - $58 million (ON-COURT: $23 million • OFF-COURT: $35 million)
2. Carlos Alcaraz - $53.7 million (ON-COURT: $15.7 million • OFF-COURT: $38 million)
3. Serena Williams - $40.1 million (ON-COURT: $0.1 million • OFF-COURT: $40 million)
4. Aryna Sabalenka - $36.1 million (ON-COURT: $13.1 million • OFF-COURT: $23 million)
5. Coco Gauff - $35.5 million (ON-COURT: $7.5 million • OFF-COURT: $28 million)
6. Novak Djokovic - $30.2 million (ON-COURT: $5.2 million • OFF-COURT: $25 million)
7. Qinwen Zheng - $22.6 million (ON-COURT: $0.6 million • OFF-COURT: $22 million)
8. Iga Swiatek - $20.5 million (ON-COURT: $5.5 million • OFF-COURT: $15 million)
9. Alexander Zverev - $18.7 million (ON-COURT: $13.7 million • OFF-COURT: $5 million)
10. Elena Rybakina - $17.4 million (ON-COURT: $11.4 million • OFF-COURT: $6 million)
Source:
https://t.co/DcuC2L7HkF
A fragile mindset requires perfect conditions to perform well.
A strong mindset accepts that you can’t control your surroundings, but you can control your response.
If you need a burst of motivation, the step is too big.
Shrink it until it is boring.
One paragraph. One call. One block of the day protected.
Then mark that it happened.
Action does not wait for the mood. The mood waits for proof.
Elon Musk didn't have a background in mechanical engineering or rocket science when he founded Tesla and SpaceX.
He didn't.
He was once asked how he packed so much knowledge into his brain so quickly.
His answer: "It is important to view knowledge as sort of a semantic tree — make sure you understand the fundamental principles, i.e. the trunk and big branches, before you get into the leaves/details or there is nothing for them to hang on to."
Most of us do it backwards.
We go straight for the leaves - the tactics, the hacks, the step-by-step methods - before we've built any trunk to hang them on.
The information doesn't stick.
-We read a book, forget it within a week.
-We take a course, can't apply it a month later.
-We collect knowledge without ever building understanding.
Musk builds the trunk first.
The science backs this up.
Neuroplasticity is the brain's ability to rewire itself and works like a tree.
Learning something new is a series of attempts, failures, and adjustments.
Neural connections that result in success grow stronger.
Unproductive connections eventually break off like dead branches.
This is why understanding fundamentals isn't just academically satisfying, it's mechanically how the brain learns best.
When you have a solid trunk, new information has somewhere to attach.
Without it, everything slides off.
Here's what that looks like in practice:
Instead of learning how to build a rocket engine, Musk learned why rockets work the way they do - the physics, the materials science, the thermodynamics.
Once those principles were in place, the specific engineering decisions became far easier to evaluate, question, and improve upon.
Instead of memorizing investing methods, Charlie Munger built what he calls a "latticework of theory" from psychology, history, mathematics, physics, philosophy, and biology and then used that latticework to make better decisions across all of them.
This is the difference between linear and residual knowledge.
A method works once, for one problem.
A principle works hundreds of times, across dozens of contexts you haven't even encountered yet.
Harrington Emerson, the American efficiency engineer, put it plainly: "As to methods, there may be a million and then some, but principles are few. The man who grasps principles can successfully select his own methods. The man who tries methods, ignoring principles, is sure to have trouble."
So the next time you sit down to learn something, whether it's a new skill, a new industry, or a new discipline, resist the pull of the tactics.
Ask instead:
-What are the trunk and big branches here?
-What are the first principles that, once understood, make everything else easier to figure out?
That's how residual knowledge works.