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Discuss the applicability of Rolles theo...

Discuss the applicability of Rolles theorem on the function `f(x)={(x^2+1 ,, if \ 0lt=xlt=1),(3-x ,,if 1ltxlt=2):}`

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RD SHARMA ENGLISH-MEAN VALUE THEOREMS-All Questions
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  6. Verify Rolle's theorem for each of the following functions on indicate...

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  7. Verify Rolle theorem for the function f(x)=log{(x^2+a b)/(x(a+b))}on[a...

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  8. Differentiate ysiny = x+y with respect to x

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  9. Differentiate xy = siny with respect to x

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  10. Differentiate y = xsiny with respect to x

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  11. Differentiate ycosx = x with respect to x

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  12. Verify Rolles theorem for the function f(x)=x^2-5x+6 on the interva...

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  13. Verify Rolles theorem for the function f(x)=x(x-3)^2,\ 0lt=xlt=3 .

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  14. Verify Rolles theorem for the function f(x)=x^3-6x^2+11 x-6 on the ...

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  15. Find the second order derivative of tanx= x+ y with respect to x

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  16. Verify Rolles theorem for the function f(x)=sqrt(4-x^2) on [-2,\ 2]...

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  17. Find the second order differentiation of cotx with respect to x .

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  18. Find the derivative of sinxcosx=x+y with respect to x

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  19. Verify Rolles theorem for the function: f(x)=sinx+cosx-1 on [0,\ pi...

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  20. Verify Rolles theorem for the function: f(x)=sinx-sin2x on [0,\ pi]

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