Video Tutorials: Watch & Learn
Watch and learn derivatives with comprehensive video tutorials covering everything from basic concepts to advanced techniques. Our free calculus videos provide visual step-by-step explanations of power rule, chain rule, product rule, quotient rule, trigonometric derivatives, and real-world applications. Perfect for visual learners!
Visual explanations help you see derivatives in action! Watch, pause, and rewatch as many times as needed. Combine video learning with our practice problems for maximum retention.
🌱 Basics & Fundamentals
Start your journey with foundational derivative concepts explained visually.
What is a Derivative?
Understand the fundamental concept of derivatives as rates of change. Learn the geometric and algebraic interpretations with clear visual examples.
Limit Definition of Derivative
Deep dive into the formal definition using limits. See how f'(x) = lim(h→0) [f(x+h) - f(x)]/h works with multiple examples.
Power Rule Made Simple
Master the most important derivative rule! Learn d/dx[x^n] = n·x^(n-1) with 10+ worked examples from polynomials to fractional exponents.
⚡ Derivative Rules Explained
Master essential differentiation rules with detailed visual walkthroughs. Complement these with our written Chain Rule and Product Rule guides!
Product Rule: Complete Tutorial
Learn (uv)' = u'v + uv' with crystal-clear visual explanations. Covers polynomials, trig functions, and exponentials with step-by-step solutions.
Chain Rule Mastery
Conquer composite functions! Understand the outer-inner derivative concept with nested functions, trig chains, and exponential chains explained visually.
Quotient Rule Explained
Master (u/v)' = (u'v - uv')/v² with memory aids and multiple practice problems. Learn when to use quotient rule vs. other techniques.
Trigonometric Derivatives
Complete guide to sin, cos, tan, and their derivatives. Includes memory tricks, visual proofs, and applications to wave motion.
Exponential & Logarithmic Derivatives
Explore e^x, ln(x), and their special properties. Learn why e^x is its own derivative and how to handle any exponential base.
🚀 Advanced Techniques
Take your skills to the next level with advanced derivative techniques. See our Implicit Differentiation Guide for more!
Implicit Differentiation Step-by-Step
Master finding dy/dx for equations not solved for y. Covers circles, ellipses, and complex implicit functions with visual clarity.
Related Rates Problems
Solve real-world problems involving changing rates. Includes ladder problems, filling tanks, and shadow movement with complete visual solutions.
Optimization Problems Mastery
Use derivatives to find maximum and minimum values. Applications include minimizing material costs, maximizing profit, and engineering design.
Higher Order Derivatives
Understand second, third, and nth derivatives. Learn about acceleration, concavity, and applications in physics and engineering.
🌍 Real-World Applications
See derivatives in action! Explore our Applications Guide for more examples.
Derivatives in Physics
Velocity, acceleration, and force explained through derivatives. Includes projectile motion, free fall, and Newton's laws visualized.
Economics & Business Applications
Marginal cost, marginal revenue, and profit maximization. Learn how businesses use derivatives to make optimal decisions.
Engineering Design Optimization
See how engineers use derivatives to optimize structures, minimize materials, and maximize efficiency in real projects.
📊 Practice What You Learned
Reinforce video concepts with our practice problems and interactive calculator!
Practice Now →📚 Learning Path Recommendations
- Start with Basics: Watch fundamental videos to build foundation
- Practice actively: Try practice problems after each video
- Master rules: Focus on product rule, chain rule, quotient rule
- Apply knowledge: Work through solved examples
- Challenge yourself: Tackle advanced topics and applications
Maximize learning by combining videos with our comprehensive written tutorials: