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In: Math

2.a Use Rolle's Theorem to prove that if f ′ ( x ) = 0 for...

2.a Use Rolle's Theorem to prove that if f ′ ( x ) = 0 for all xin an interval ( a , b ), then f is constant on ( a , b ).

b True or False. The product of two increasing functions is increasing. Clarify your answer.

c Find the point on the graph of f ( x ) = 4 − x 2 that is closest to the point ( 0 , 1 ).

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