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Study calculus 10x faster with AI

Limits, derivatives and integrals explained one step at a time, with graphs that show what the math means and AP-style practice when you're ready.

4.87en iOS13,917,000+estudiantes ya estudian con Kuest

topics
10
Course
AP Calculus AB/BC, Calculus I–II
Typical grade
12th grade or first year of college
Leads to
Multivariable calculus, differential equations

See how Kuest teaches it

It asks before it tells, so you do the thinking and it sticks.

You: Find the derivative of f(x) = x³ · sin(x).
Kuest: This is two functions multiplied together. Which rule handles a product, and what are the two pieces?
You: The pieces are x³ and sin(x). Their derivatives are 3x² and cos(x), so f′(x) = 3x² cos(x).
Kuest: Both derivatives are right. The product rule doesn't multiply them though. It's f′g + fg′: derivative of the first times the second, plus the first times derivative of the second. Want to build it?
You: 3x² · sin(x) + x³ · cos(x). So f′(x) = 3x² sin(x) + x³ cos(x).
Kuest: That's it. Multiplying the two derivatives is a very common slip, so it's worth double-checking on every product.

The derivative of a product is f′g + fg′, not the product of the derivatives.

Students who lock in with Kuest

students
13,917,000+
App Store rating
4.87
countries
100+
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The method

How to study Calculus with Kuest

Calculus builds on itself fast, so a shaky limit or chain rule shows up again in every later unit. Work problems by hand, connect each result to a graph, and practice free-response questions where you have to justify your answer in words.

  1. Understand the idea firstTutor chat

    Ask what a limit, derivative or integral means before memorizing rules, and answer Kuest's questions to test your intuition.

  2. Graph f, f′ and f″Graphs

    Graph a function next to its derivative to see where it rises, falls and bends, and check your sign charts.

  3. Work through your problem setsSnap a photo

    Snap a homework problem and solve it with Kuest step by step, catching slips like dropping the inner derivative.

  4. Mix the rulesQuizzes

    Take quizzes that mix product, quotient and chain rule problems so you learn to spot which one a problem needs.

  5. Plan backward from the examStudy plan

    Set your AP or final exam date and get a plan that spaces out review of every unit.

  6. Practice free response under timeMock exams

    Take timed mock exams with free-response questions, then go through every miss with Kuest.

What you'll cover

Tap a topic to learn it now.

  1. 01Limits and continuityEvaluate limits from graphs, tables and algebra and test continuity.
  2. 02Definition of the derivativeConnect the derivative to slope and instantaneous rate of change.
  3. 03Differentiation rulesUse the power, product and quotient rules and derivatives of trig, exponential and log functions.
  4. 04Chain rule and implicit differentiationDifferentiate composite functions, inverses and equations where y isn't isolated.
  5. 05Related ratesSet up and solve problems where several quantities change over time.
  6. 06Analyzing functions and optimizationFind extrema, concavity and inflection points and solve max-min problems.
  7. 07Integrals and the Fundamental TheoremInterpret integrals as accumulated change and evaluate them with antiderivatives.
  8. 08Differential equationsSolve separable equations and read slope fields.
  9. 09Applications of integrationFind average value, area between curves and volumes of solids.
  10. 10Infinite sequences and seriesTest series for convergence and build Taylor polynomials (Calculus BC and Calc II).

Try asking

Tap a question and Kuest starts teaching it, step by step.

Helps you prepare for

  • AP Calculus AB
  • AP Calculus BC
  • College Calculus I
  • College Calculus II

A month of Kuest costs less than one hour with a tutor

Same patience, any hour, every subject. Or stay on the free plan for good.

Private tutor

$40–80for one hour

  • Booked days in advance
  • One subject per session
  • Stops when the hour ends

Kuest Plus

$10a month, billed yearly

  • Every subject and exam on this site
  • Any hour, as long as you need
  • Quizzes, flashcards, podcasts and mock exams

Study on any device

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