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Section 14.7 Second-Order Partial Derivatives

Section 14.7 Second-Order Partial Derivatives. Old Stuff. Let y = f ( x ), then Now the first derivative (at a point) gives us the slope of the tangent, the instantaneous rate of change, and whether or not a function is increasing What does the second derivative give us?

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Limits of Functions and Continuity

Limits of Functions and Continuity. The Limit of a Function. The limit as x approaches a ( x ? a ) of f ( x ) = L means that as x gets closer and closer to a (on either side of a ), f ( x ) must approach L . Here, f ( a ) does not need to exist for the limit to exist. ?. ?.

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Same function value - PowerPoint PPT Presentation

Section 14.7 Second-Order Partial Derivatives

Limits of Functions and Continuity