CloudLabs Implicit Derivative vs Mathio

In this practice, you will need to use implicit derivatives to find the acceleration required for a spacecraft to reach the escape velocity it needs to break away from the gravitational attraction of a planet. The simulator provides the escape velocity function, with which you can find the acceleration. The simulator recreates a laboratory with a holoprojector and a tablet on which to see the parameters and the necessary functions.

Math, made simple. Practice that remembers your mistakes. Mathio is a calm, focused math trainer for school, homework, exam prep, university refreshers, and self-study. Short lessons, a spaced-repetition review queue, a mistake book, and a formula reference work together in one clean learning flow. WHO MATHIO IS FOR • Students who want structured practice for homework, quizzes, and finals • Learners preparing for exams who prefer short, mixed sessions to random worksheets • Parents looking for a clear math app without ads or leaderboards • Self-learners rebuilding fundamentals in algebra, calculus, statistics, finance, or discrete math • Anyone who learns better with a few focused minutes every day than with one stressful cram session ▸ EASY START A short onboarding with a quick level check. After that, the Continue card always suggests your next lesson. ▸ DAILY GOAL + STREAKS Set a daily goal and build a streak. Streak freezes cover the days you miss. ▸ SPACED REPETITION Questions come back in your Review queue after 1 day, 3 days, 1 week, 2 weeks, and 1 month. ▸ MISTAKE BOOK Every missed question is saved and returns in a focused drill until you answer it correctly on two separate days. ▸ HINTS + STEP-BY-STEP SOLUTIONS Stuck? Open a hint. Wrong answer? You see the full worked solution right in the exercise. ▸ MATH KEYPAD Enter answers on a keypad made for math: numbers, fractions, powers, roots, and π. Extra keys like a comma or comparison signs appear when a question needs them. ▸ EXAM SPRINT (PREMIUM) 10 mixed questions from your review queue, your weak spots, and your next lesson. Great for quick exam prep. ▸ FORMULAS + SEARCH Bookmark formulas as you learn them, and search across topics, lessons, and formulas. ▸ STATS Follow your progress with statistics and an activity calendar. ▸ DAILY REMINDER An optional reminder that skips the days you've already practiced. ▸ SIRI + SHORTCUTS Say "Practice math with Mathio" to jump straight into practice. ▸ BUILT FOR EVERYONE Dark mode, VoiceOver, larger text sizes, iPhone and iPad. Available in 25 languages. ▸ PRIVACY-CONSCIOUS Learning progress stays on your device. No ads, no leaderboards. Mathio does not sell personal data. RevenueCat is used only to validate subscriptions. TOPICS Pre-Algebra, Algebra, Calculus, Geometry, Trigonometry, Statistics, Linear Algebra, Financial Math, and Discrete Math. 63 lessons and 315 questions (multiple choice, true/false, and typed answers) cover fractions, percentages, negative numbers, linear equations, the quadratic formula, logarithms, limits, derivatives, the chain rule, integrals, the Pythagorean theorem, the unit circle, the laws of sines and cosines, probability, regression, vectors, matrices, compound interest, budgeting, loans, taxes and discounts, logic, sets, truth tables, modular arithmetic, graphs, and more. FREE AND PREMIUM Free: the first lesson of every topic, plus review, daily goal, and streak. Premium unlocks all lessons, guided learning paths, Exam Sprint, and the full mistake drill. Plans: • Annual — 7-day free trial for new subscribers, Family Sharing • Monthly • Weekly — 3-day free trial for new subscribers A free trial can be used once per Apple ID. Prices are shown in the app and may vary by country. Subscriptions auto-renew unless cancelled at least 24 hours before the end of the current period. Manage or cancel any time in your Apple ID settings. Privacy: https://meloxkgz-ship-it.github.io/mathio/privacy Terms: https://meloxkgz-ship-it.github.io/mathio/terms From fractions to derivatives. Two minutes a day is enough.