This note explains the following topics:
Differentiation from first principles, Differentiating powers of x,
Differentiating sines and cosines, Differentiating logs and exponentials, Using
a table of derivatives, The quotient rule, The product rule, The chain rule,
Parametric differentiation, Differentiation by taking logarithms, Implicit
differentiation, Extending the table of derivatives, Tangents and normals,
Maxima and minima.
The contents include: Introduction, Proof by
induction, Complex numbers, Trigonometric and hyperbolic functions, Functions,
limits and differentiation, Integration, Taylor’s theorem and series,
Exercises.
Author(s): ACC Coolen, Department of
Mathematics, King’s College London
This note explains the following topics:
Differentiation from first principles, Differentiating powers of x,
Differentiating sines and cosines, Differentiating logs and exponentials, Using
a table of derivatives, The quotient rule, The product rule, The chain rule,
Parametric differentiation, Differentiation by taking logarithms, Implicit
differentiation, Extending the table of derivatives, Tangents and normals,
Maxima and minima.
This note covers the following topics: Limits and
Continuity, Differentiation Rules, Applications of Differentiation, Curve
Sketching, Mean Value Theorem, Antiderivatives and Differential Equations,
Parametric Equations and Polar Coordinates, True Or False and Multiple Choice
Problems.
Author(s): Veselin Jungic,
Petra Menz, and Randall Pyke