Theory of Intelligence
11TH•Mathematics•Differentiation•13.1 Tangent and the Derivative

Introduction

Tangent as limit of secants; derivative as difference quotient; instantaneous velocity.

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Introduction

Newton and Leibniz developed differential calculus to study instantaneous rates of change. The derivative links the slope of a tangent to instantaneous velocity and other rates.

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13.2 Differentiation from First Principles