IIT JEE APPLICATION OF DERIVATIVES If `f(x)a n dg(x)` are continuous functions in `[a , b]` and ...

85 views · Published 22 September 2017 · 6:30 · Indexed 21 October 2026

Channel: Doubtnut · 2017 · Education

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This is the Solution of question from Cengage Publication Math Book Calculus Chapter 6 APPLICATION OF DERIVATIVES written By G. Tewani. You can Find Solution of all math questions from CENGAGE BOOK on our app DOUBTNUT for free. Download Doubtnut from - https://doubtnut.app.link/49bSqK0xxR

If `f(x)a n dg(x)`
are continuous functions in `[a , b]`
and are differentiable in`(a , b)`
then prove that there exists at least one `c in (a , b)`
for which.
`|f(a)f(b)g(a)g(b)|=(b-a)|f(a)f^(prime)(c)g(a)g^(prime)(c)|,w h e r ea lt c lt bdot`

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