How do you find a rate of change, in any context, and express it mathematically? You use differentiation. Tutorials in differentiating logs and exponentials, sines and cosines, and 3 key rules explained, providing excellent reference material for undergraduate study.

> 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

Using a table of derivatives

The construction of a Table of Derivatives of common functions using differentiation from first principles. Linearity rules for constant multiples of functions and for sum/difference of two functions, with examples, are explored. The table is extended using the chain rule for differentiation. Video tutorial 20 mins.

Using a table of derivatives

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