Differentiation operators - PowerPoint PPT Presentation

Math 1304 Calculus I

Math 1304 Calculus I. 2.8 – Derivative as a Function. Notation for Derivative. Definition: The derivative of a function f at a number a, denoted by f’(a) is given by the formula This is defines a new function f’ called the derivative of f. Alternative Formula for Derivative.

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In Section 2.1 we considered the derivative at a fixed number a .

2.2 The derivative as a function. In Section 2.1 we considered the derivative at a fixed number a . Now let number a vary. If we replace number a by a variable x , then the derivative can be interpreted as a function of x : Alternative notations for the derivative:

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