Theory of Intelligence
12TH•Mathematics•Further Differentiation•2.4 Parametric Differentiation

Introduction

Derivatives of parametric curves x = f(t), y = g(t) using the chain rule for first and second derivatives.

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Introduction

Many curves (such as cycloids, planetary orbits, and projectile paths) are defined parametrically using a third variable (parameter) tt:

x=f(t),y=g(t)x = f(t), \quad y = g(t)

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2.5 Higher Order Derivatives