Solved: Extended Mean Value Theorem In Exercises 9194, apply the Extended Mean Value
Chapter 8, Problem 94(choose chapter or problem)
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
\(f(x)=\ln x, \quad g(x)=x^{3}\) [1, 4]
Text Transcription:
f’(c)/g’(c)=f(b)-f(a)/g(b)-g(a)
f(x)=ln x, g(x)=x^3
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