Master calculus with our comprehensive collection of 30+ free cheat sheets, worksheets, and study guides. Each resource is professionally designed, print-optimized, and includes detailed examples to accelerate your learning journey.
A comprehensive one-page guide covering Power, Product, Quotient, and Chain rules. Excellent for exam review and quick reference.
Master the basics with 30 targeted problems designed to build speed and accuracy in basic differentiation techniques.
75 practice problems covering integer, negative, and fractional exponents. Includes step-by-step solutions, key formulas, and real‑world applications. Perfect for AP Calculus and university prep.
Step-by-step exercises from simple composite functions to complex multi-layer nested derivatives with detailed solutions.
Complete table of sin, cos, tan derivatives and their inverses. Never forget a trig derivative again with this visual guide.
Deep dive into e^x, a^x, and natural logarithms. Includes advanced Logarithmic Differentiation techniques with examples.
A procedural guide for solving maxima/minima word problems. Includes real-world business and physics examples.
Gradients, directional derivatives, and partial differentiation formulas for multi-variable calculus students.
Timed 10-minute drills to build the fluency required for competitive mathematics and AP exams with scoring rubric.
A structured day-by-day learning roadmap to take you from beginner to calculus expert in one month.
Master equations where y is not isolated. 10 targeted problems with detailed step-by-step solutions and progress tracking.
Master 2nd, 3rd, and n-th derivatives. Includes polynomial drills, trig patterns, and power series foundation.
Master the reverse of differentiation. Covers power rule for integrals, trig integrals, and fundamental theorem of calculus.
One-stop reference for limit laws, continuity conditions, squeeze theorem, and L'Hopital's Rule. Perfect for quick review.
Practice approximating complex functions with power series. From Maclaurin expansions to Taylor polynomials at custom centers.
Master multivariable change. Practice calculating gradient vectors and rate of change in custom directions for surface analysis.
Master your graphing calculator. Essential nDeriv, fnInt, and solver commands for the AP Calculus exam and beyond.
Essential Linear Algebra formulas: multiplication, determinants, inverses, and eigenvalues for students and engineers.
Master geometric applications. Practice finding equations of tangent and normal lines with step-by-step derivative solutions.
Frequency Domain analysis reference. Common transform pairs, properties, and signal processing identities.
Master complex series with negative powers. Practice expansions around singular points and residue calculation.
Master calculus on parametric curves. 10 targeted problems on dy/dx and d²y/dx² for complex x(t) and y(t) paths.
Master math notation. Essential LaTeX commands for derivatives, integrals, limits, and matrices for academic writing.
Fundamental logic laws for Computer Science. Reference for De Morgan's laws, logic gates, and discrete math identities.
Master mathematical visualization. Expert guide to using 2D/3D plots for analyzing function transformation and derivative behavior.
Master the derivative of the day. Tips and tricks to recognize patterns and build your streak in our gamified math puzzle.
Master multi-function differentiation. Practice problems for finding derivatives of products and quotients with detailed steps.
Master multivariable change. Practice ∂f/∂x and ∂f/∂y for complex functions with interactive solutions and steps.
All-in-one reference for complex derivatives. Formulas for Trig, Log, Exponential, and Inverse functions in one place.
Master numerical evaluation. Practice finding f'(a) for various function types to calculate instantaneous rates of change.
Master professional math tools. How to use our Eigenvalue, Gram-Schmidt, and RREF calculators for advanced analysis.
Our resources are designed using evidence-based learning strategies to maximize retention and understanding. Follow this framework to accelerate your calculus mastery:
Start with our AP Calculus Derivative Drill to assess your current proficiency level. Time yourself for 10 minutes and score your results. This identifies your strengths and areas needing improvement.
Based on your assessment, select the appropriate cheat sheets for quick formula reference or worksheets for practice. Our resources are categorized by difficulty:
Use our 30-Day Calculus Mastery Checklist to create a structured learning schedule. Research shows spaced repetition increases retention by up to 200% compared to cramming.
Re-take the drills weekly to measure improvement. Our worksheets include answer spaces for you to track your progress over time.
Yes, all resources are designed to align with AP Calculus AB/BC and college-level calculus curricula. They cover all topics outlined in the College Board's Course and Exam Description.
Absolutely! Teachers are welcome to use, print, and distribute these resources in classrooms. We provide high-quality PDFs specifically optimized for printing.
We add 2-3 new resources monthly. Subscribe to our newsletter to receive updates about new worksheets, cheat sheets, and study guides.
All worksheets include step-by-step solutions that can be verified using our calculators. For classroom use, contact us for instructor answer keys.
Create unlimited free math worksheets in seconds — derivatives, algebra, fractions & more. Includes full answer keys. Perfect for students, teachers & tutors.
Not all calculus resources are created equal. Here's how DerivativeCalculus.com resources compare to traditional textbooks and other online materials:
| Feature | DerivativeCalculus.com | Traditional Textbooks | Other Online Resources |
|---|---|---|---|
| Cost | 100% Free | $100-$300 | $10-$50/month |
| Print Quality | Professional, Print-Optimized | High Quality | Variable, Often Poor |
| Step-by-Step Solutions | ✓ Included with Calculators | Sometimes in Separate Manual | Often Premium Feature |
| Mobile Optimization | ✓ Perfect on All Devices | ✗ Print Only | Variable |
| Updates & Revisions | Monthly Improvements | Every 3-5 Years | Irregular |
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