Introduction to Calculus
Finding the equation of a tangent

Introduction to Calculus

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Introduction to Differential Calculus

• ​Introducing the concept of instantaneous rate of change
• Estimating the instantaneous rate of change
• Limits
• Gradient of a tangent at a particular point
• What is a derivative function?
• Finding the derivative function from first principles

Properties and Application of Derivatives

• Simple rules of differentiation
• Finding equations of linear lines (gradient-point form)
• Finding the equation of a tangent
• Finding the equation of a tangent (from an external point)
• Finding the equation of a normal
• Increasing and decreasing functions
• Stationary points

Kinematics

• Displacement, velocity and acceleration

Optimisation

• Optimisation with differential calculus

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