Calculus 1: The Tangent and Velocity Problems (Video #1) | Math with Professor V

In this video, we explore the tangent and velocity problems, two of the most important ideas that motivate the definition of the derivative. You’ll see how limits are used to calculate instantaneous velocity and tangent line slopes, laying the foundation for everything else in Calculus. This lesson also covers AP Calculus Unit 1: Limits & Continuity (AB/BC). It’s perfect for AP Calculus exam prep, review, and practice problems — especially for students learning how to apply the limit laws and evaluate limits algebraically. Add this video to your AP Calculus Unit 1 review playlist for complete coverage. xoxo, Professor V https://linktr.ee/mathwithprofessorv 💡 Support & Exclusive Content 👉 Join my channel for perks:    / @mathwithprofessorv   👉 Become a Patron:   / mathwithprofessorv   Patreon gives you access to exclusive ad-free videos, worksheets, and my full math library. The "Star Pupil Package" tier is only $9.99/month! 📺 Watch Next – Calculus Playlists Full Calculus 1 Playlist:    • Calculus 1 Video Lectures   Full Calculus 2 Playlist:    • Calculus 2 Video Lectures   Calculus 3 Lectures:    • Calculus 3 Video Lectures   ✨ Most Helpful Integration Lessons (Calc 2) Integration by parts:    • Calculus 2: Integration by Parts (Video #1...   Tabular Integration:    • Integration by Parts - Tabular Method | Ca...   Trigonometric integrals:    • Calculus 2: Trigonometric Integrals (Video...   Trigonometric Substitution:    • Calculus 2: Trigonometric Substitution (Vi...   Partial Fraction Decomposition:    • Calculus 2: Integration of Rational Functi...   Strategy for Integration:    • Calculus 2: Strategy for Integration (Vide...   Improper Integrals:    • Calculus 2: Improper Integrals (Video #7) ...   📘 Quick Trig Review Before Integrals Unit Circle:    • Trigonometry: Circular Functions (Section ...   Trig Identities:    • Precalculus: Trigonometric Identities (Sec...   Sum & Difference Formulas:    • Precalculus: Sum and Difference Formulas f...   Double & Half-Angle Formulas:    • Precalculus: The Double-Angle and Half-Ang...   🛍️ Shop & Support Merch: https://math-with-professor-v.mysprea... Amazon Influencer Store: https://amazon.com/shop/mathwithprofe... 📲 Stay Connected IG: @mathwithprofessorv TikTok: @mathwithprofessorv This video is copy protected and cannot be downloaded or used in any capacity without my permission. #APCalculus #APCalculusAB #APCalculusBC #APCalculusReview #APCalculusUnit1 #Calculus #mathwithprofessorv #calculusvideos #mathtutor #mathprofessor