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app.leren.ai / session / physics-motion

Physics: Motion & Derivatives

Listening

Can you explain how derivatives work using my notes?

I can see your notes on calculus on page 3. A derivative measures the rate of change. It tells you how fast something shifts at any given point.

f′(x) = lim(h→0) [f(x+h) − f(x)] ÷ h

Want me to walk you through your worked example step by step?

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00:03 · You ask

You speak the question out loud.

It's 11pm the night before your calculus midterm. You hit a problem you can't crack. Instead of typing a prompt, you just ask Leren out loud, the way you'd ask a friend.

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● Listening 00:03

Hey Leren, I can't figure out this derivative on page 47.

00:04 · Leren sees

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You share your screen. Leren scans your textbook, identifies page 47, and locks onto the exact problem. No describing. No copy-pasting. No second-guessing what you meant.

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Page 45: Power rule basics

Page 46: Chain rule intro

Page 47: Problem 4.3

Page 48: Practice set

00:06 · Leren explains

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Leren walks you through Problem 4.3 out loud, in plain language. Not just the answer, but the thinking behind it. The session auto-saves as notes you can review before the exam.

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Leren is speaking

Explaining Problem 4.3 · 00:12

Identify the function. Problem 4.3 on page 47 uses f(x) = x² + 3x.

Apply the power rule. Multiply the coefficient by the exponent, then reduce the exponent by one.

Simplify. The derivative is f′(x) = 2x + 3.

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Physics Ch. 4

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Newton's 2nd law. I can explain how F = ma applies to your worked example on momentum.

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Likely topics Calc midterm

Chain rule 92% likely

Implicit differentiation 78% likely

Related rates 54% maybe

L'Hopital's rule 23% unlikely

Q1 Chain rule

Find the derivative of the following function:

f(x) = (3x² + 5)⁴

Q2 Implicit differentiation

Find dy/dx given:

x² + y² = 25

Memory

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Every session auto-summarized into clean, structured notes. Searchable, exportable, yours forever.

Session 03/27 12:30 - 2:00 PM

Q How does the chain rule work?

A Multiply the outer derivative by the inner derivative.

Q What's an implicit derivative?

A Differentiate both sides treating y as a function of x.

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Week 8 23-day streak

+38% accuracy this month

Calculus ▲+24%

Physics ▲+12%

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