Applying Cauchy’s mean value theorem to the function \(f\) and \(g\) defined as \(f(x)=x^2\) and \(g(x)=x\) for all \(x\in[a,b]\), gives
—>> \(c=\frac{1}{2}(a+b)\)
\(c=a^2+b\)
\(c=a+b\)
\(c=\frac{a}{2}+b\)
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Applying Cauchy’s mean value theorem to the function \(f\) and \(g\) defined as \(f(x)=x^2\) and \(g(x)=x\) for all \(x\in[a,b]\), gives
—>> \(c=\frac{1}{2}(a+b)\)
\(c=a^2+b\)
\(c=a+b\)
\(c=\frac{a}{2}+b\)