Calculus I: (2.1) Tangent Lines and Velocity

Learn how derivatives are used to find tangent lines and instantaneous velocity in this Calculus I lesson. We begin by finding the equation of a tangent line to a curve using the derivative, then apply the same concept to determine the velocity of a moving object from its position function. This lesson is ideal for university students taking Calculus I, engineering students, and anyone preparing for calculus exams. Topics Covered: Tangent line equation Slope of the tangent line Derivative as instantaneous rate of change Position, velocity, and acceleration Instantaneous velocity Calculus I applications Step-by-step worked examples 👍 If this lesson helped you, please Like, Subscribe, and Share to support the channel! #Calculus #Calculus1 #Derivatives #TangentLine #Velocity #InstantaneousVelocity #RateOfChange #EngineeringMathematics #MathTutorial #UniversityMath #STEM #Mathematics #LearnCalculus #CalculusForEngineers #MathEducation