Solved: Extended Mean Value Theorem In Exercises 9194, apply the Extended Mean Value

Chapter 8, Problem 93

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Extended Mean Value Theorem In Exercises 91-94, apply the Extended Mean Value Theorem to the functions f and g on the given interval. Find all values in the interval (a,b) such that

\(\frac{f^{\prime}(c)}{g^{\prime}(c)}=\frac{f(b)-f(a)}{g(b)-g(a)}\) 

Function                                        Interval

f(x) = sin x, g(x) = cos x                         \(\left[0, \frac{\pi}{2}\right]\)

Text Transcription:

f’(c)/g’(c)=f(b)-f(a)/g(b)-g(a)

[0, pi/2]

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