
Tangents, Derivatives and DifferentiationThe Rise and Fall of a GraphThe derivative of a function can be used to find out where its graph
is rising (increasing) or falling (decreasing). Example 6.Let .
Then
ExampleLet .
Then .
Exercise 2.Show where each of the following function are increasing and decreasing: f(x) = x^{3}, f(x) = cos x, f(x) = e^{x} and f(x) = ln x. Click on the links provided to see the solution.
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