Formulae
Glossary
Calculus — the mathematics of change
Gradient revision
Gradient function of a parabola
Sketching gradient functions of curves
Calculus — the mathematics of change
Terminology
Differentiation
Differentiating a polynomial
Using a differentiated polynomial to calculate the gradient
Using a differentiated polynomial to locate points where the curve has a given gradient
Putting it all together
Locating turning points and determining their nature
Finding where functions are increasing and decreasing
Applications
Anti-differentiation
Anti-differentiating a polynomial
Calculating c
Kinematics
Differentiation in kinematics
Anti-differentiation in kinematics
Practice tasks
Answers
Charlotte Walker BEd, GradDipTchLn, MHealSc.Charlotte has over 10 years' experience in teaching Mathematics.
Victoria Walker BSc (Hons), GradDipTchLn. Victoria has twenty years' experience in teaching Mathematics. She has received a Jim Campbell award for teaching excellence (2003) and an Ernest Duncan award in Mathematics (2007).
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