Let f and g be continuous on [a,b] and differentiableon (a, b). Prove: If f(a) = g(a)

Chapter 4, Problem 36

(choose chapter or problem)

Let f and g be continuous on \([a, b]\) and differentiable on \((a, b)\). Prove: If \(f(a)=g(a)\) and \(f(b)=g(b)\), then there is a point c in \((a, b)\) such that \(f^{\prime}(c)=g^{\prime}(c)\).

Equation Transcription:

 

Text Transcription:

[a,b]

(a,b)

f(a)=g(a)

f(b)=g(b)

 f'(c)=g'(c)

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