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Graph the derivative for several values of a

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Reference no: EM131604970

Question: For positive a, consider the family of functions

y = arctan (√x + √a), x > 0
               (1 - √ax)

(a) Graph several curves in the family and describe how the graph changes as a varies.

(b) Use a computer algebra system to find dy/dx, and graph the derivative for several values of a. What do you notice?

(c) Do your observations in part (b) agree with the answer to part (a)? Explain.

Reference no: EM131604970

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