Derivatives.

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Presentation transcript:

Derivatives

We write: “The derivative of f with respect to x is …” There are many ways to write the derivative of

“the derivative of f with respect to x” “f prime x” or “y prime” “the derivative of y with respect to x” “dee why dee ecks” or “the derivative of f with respect to x” “dee eff dee ecks” or “the derivative of f of x” or

Note: dx does not mean d times x ! dy does not mean d times y !

Note: does not mean ! does not mean ! (except when it is convenient to think of it as division.) does not mean ! (except when it is convenient to think of it as division.)

Note: does not mean times !

In the future, all will become clear.

The derivative is the slope of the original function. The derivative is defined at the end points of a function on a closed interval.