In Exercises 97100, apply the Extended Mean Value Theorem to the functions and on the
Chapter 8, Problem 100(choose chapter or problem)
In Exercises 97–100, apply the Extended Mean Value Theorem to the functions f and g on the given interval. Find all values c in the interval (a, b) such that
\(\frac{f^{\prime}(c)}{g^{\prime}(c)}=\frac{f(b)-f(a)}{g(b)-g(a)}\).
Functions Interval
\(f(x)=\ln x, \quad g(x)=x^{3}\) [1, 4]
Text Transcription:
f^prime (c) / {g^prime(c)= f(b)-f(a)/g(b)-g(a)
f(x)=ln x, quad g(x)=x^3
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