Differentiation

By the end of this topic you can

• Find average rates of change and instantaneous rates of change
• Find the gradient of a curve at a point using tangent
• Relate the delta notation to rates of change
• Find the gradient function of a function of the form y = xⁿ (n is a positive integer)
• Define derivative of a function, derived function of a polynomial and differentiation
• Determine the derivative of a polynomial
• Find equations of tangents and normals to the curves
• Sketch a curve
• Apply differentiation in calculating distance, velocity and acceleration
• Apply differentiation in finding maxima and minima of a function

Full notes and worked solutions

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