# Rules: Derivative of Sums, Products & Quotients of Functions

## Linearity

Linearity of the derivative (derivative of sums of functions).

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## The Liebniz Rule / Product Rule

Product rule for derivatives. Gives proof sketch.

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## The Quotient Rule

Quotient rule for derivatives, derived using product rule.

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## Product Rule Example

Product rule used to find a derivative.

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## Logarithmic Differentiation

Finding the derivative of a product of functions using logarithms to convert into a sum of functions. Includes worked example.

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## Differentials

Differential notation for derivatives is explained and common rules for derivatives are listed in differential notation. Includes an example of a derivative taken in differential notation.

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## Derivatives of Combinations of Functions

Rules for the derivatives of sums and products of functions, as well as the chain rule and rules for finding the derivative of an inverse function.

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## Derivatives of Exponential and Trigonometric Functions

Taking the first and second derivatives of a function involving an exponential and a cosine.

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## Evaluating Derivatives and Limits

Four-part question involving the evaluation of three derivatives and a limit.

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## Evaluating Derivatives

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Two questions finding the derivatives of functions.

Finding the derivatives of four functions.

Three derivatives to be evaluated using a variety of techniques.

## Differentials and Indefinite Integration

Three questions which involve evaluating five differentials and twenty indefinite integrals using a range of techniques.

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