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State the condition on the derivative f' that can be used to show that a...

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Advance Math


State the condition on the derivative f' that can be used to show that a function f is increasing. 

b Define the function arctan. 

c Explain how one, starting from the definition of arctan, may derive an expression for the derivative of this function, and carry out that calculation.

Answer & Explanation Solved by verified expert
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a The derivative of a function may be used to determine whetherthe function is increasing or decreasing on any intervals in itsdomain If fx 0 at each point in an interval I then thefunction is said to be increasing on Ib    See Answer
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