(a) Use
(b) If f and g are inverse functions and f′ is continuous, prove that
[Hint: Use part (a) and make the substitution y = f(x).]
(c) In the case where f and g are positive functions and b > a > 0, draw a diagram to give a geometric interpretation of part (b).
(d) Use part (b) to evaluate
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Chapter 7 Solutions
Calculus, Early Transcendentals
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