Class 12

Math

Calculus

Application of Derivatives

Let $f(x)andg(x)$ be differentiable function in $(a,b),$ continuous at $aandb,andg(x)=0$ in $[a,b]˙$ Then prove that $g(c)f_{prime}(c)−f(c)g_{prime}(c)g(a)f(b)−f(a)g(b) =(g(c))_{2}(b−a)g(a)g(b) $

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