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Verify Rolle's theorem for each of the f...

Verify Rolle's theorem for each of the following functions on indicated intervals; `f(x)=sin^2x` on `0lexlepi` `f(x)=sinx+cosx-1` on `[0,pi/2]` `f(x)=sinx-sin2x` on `[0,pi]`

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RD SHARMA ENGLISH-MEAN VALUE THEOREMS-All Questions
  1. Verify Rolles theorem for the function f(x)=(x-a)^m(x-b)^n on the inte...

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

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  3. Verify Rolle's theorem for each of the following functions on indicate...

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

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

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  6. Differentiate xy = siny with respect to x

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  7. Differentiate y = xsiny with respect to x

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  8. Differentiate ycosx = x with respect to x

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

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

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

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

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

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

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

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

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

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  18. Find the differentiation for the function: f(x)=(x+3)e^(-x) .

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  19. Find dy/dx for the function: f(x)=e^x(sinx-cosx) .

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  20. Find the derivative of the function f(x)=x^3-6x^2+a x+b

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