If f(x)f(x) is a function, explain what we mean by the derivative f′(x)f′(x). Answer A and B below:  A. In your own words: How does f′(x)f′(x) relate to f(x)f(x) ? What does f′(x)f′(x) tell us about f(x)f(x) at x=ax=a ? B. In your own words: How does the concept of a derivative f′(x)f′(x) depend on the concept of a limit? In other words, how do we use the concept of a limit to then come up with the derivative f′(x)f′(x) ?

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.5: Applications Of Inner Product Spaces
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If f(x)f(x) is a function, explain what we mean by the derivative f′(x)f′(x). Answer A and B below: 

A. In your own words: How does f′(x)f′(x) relate to f(x)f(x) ? What does f′(x)f′(x) tell us about f(x)f(x) at x=ax=a ?

B. In your own words: How does the concept of a derivative f′(x)f′(x) depend on the concept of a limit? In other words, how do we use the concept of a limit to then come up with the derivative f′(x)f′(x) ?

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