how it works · the next step
Calculus I ▾
I hand you a problem, not a lecture.
the next step is a guided climb I lay out after watching you try. the problem comes first, always. content only loads when you have earned it, by missing something specific. I skip what you already know and I linger where you do not. the map is honest about both.
the next step, start to summit
the challenge · 0% to summit
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Calculus I
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derivatives
week 4 · reshaped this morninglimitschain rulerelated ratesproduct ruleimplicit diff. ← youoptimization
good inkclimbingfadingunmapped
today I hand you a problem, not a lecture.
a circle: x² + y² = 25. find dy/dx at the point (3, 4), without solving for y first.
show your work. I watch the approach.
I'm stuck
last time you solved for y. the short way is hiding in the question.
how the next step works
your next step reshapes every time you climb. that is the point. it is built around you, not around a syllabus.
- 1you get a challenge, not a chapterevery node opens with a task. you attempt it before anything is explained. I am reading your approach, not just the answer.
- 2I diagnose the exact misswrong is useful. I name the specific thing that tripped you, then hand you a different problem on the same idea. not the same one again.
- 3it moves into the good inkwhen you can do it in more than one context, the concept goes solid on your map. that is the only thing that counts as known here.
- 4it comes back before you forgeta week later the concept returns as a warm-up, in a new disguise. spacing is built into the climb, not bolted on as review.
- 5the map stays honestdemonstrated, developing, fading, unmapped. no percentage that lies. you always see where you actually stand, including the gaps.
what the next step refuses to do
- no lecture before the attempt. the struggle is where the learning is.
- no completion bar. ninety percent done means nothing if you cannot do the thing.
- no busywork on what you already proved. your time is not free.
I hand you a problem, not a lecture.
start climbing