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Verify Rolles theorem for the functio...

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

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`{f}({x}) `is continous \ differentiable in` [0, \pi]`
`f(0)=f(\pi) \quad a=0 ; b=\pi`
We have to find `c` in` [0,1],`
such that, `f^{\prime}(c)=0` ( in Rolle's Theorem) ...
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RD SHARMA-MEAN VALUE THEOREMS-Solved Examples And Exercises
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  2. Verify Rolles theorem for the function: f(x)=sinx+cosx-1 on [0,\ pi...

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

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  4. Verify Rolles theorem for the function: f(x)=x(x+3)e^(-x//2) on [-3...

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  5. Verify Rolles theorem for the function: f(x)=e^x(sinx-cosx) on [pi/...

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  6. It is given that for the function f(x)=x^3-6x^2+a x+b on [1,\ 3] , ...

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  7. It is given that for the function f given by f(x)=x^3+b x^2+a x , x...

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  8. Find the point on the curve y=cosx-1,\ \ x in [pi/2,(3pi)/2] at whi...

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  9. Discuss the applicability of Rolles theorem for the function f(x)=3...

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  10. Discuss the applicability of Rolles theorem for the function f(x)=[...

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  11. Discuss the applicability of Rolles theorem for the function f(x)=s...

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  12. Discuss the applicability of Rolles theorem for the function f(x)=2...

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  13. Discuss the applicability of Rolles theorem for the function f(x)=x...

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  14. Verify Rolles theorem for function f(x)=x^2-8x+12 on [2,\ 6]

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  15. Verify Rolles theorem for function f(x)=x^2-4x+3 on [1,\ 3]

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  16. Verify Rolles theorem for function f(x)=(x-1)(x-2)^2 on [1,\ 2]

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  17. Verify Rolles theorem for function f(x)=x(x-1)^2 on [0,\ 1]

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  18. Verify Rolles theorem for function f(x)=(x^2-1)(x-2) on [-1,\ 2]

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  19. Verify Rolles theorem for function f(x)=x(x-4)^2 on [0,\ 4]

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  20. Verify Rolles theorem for function f(x)=x(x-2)^2 on [0,\ 2]

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