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Verify Lagranges mean value theorem fo...

Verify Lagranges mean value theorem for `f(x)=x(x-1)` on `[1,\ 2]` on the indicated intervals. Also, find a point `c` in the indicated interval:

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RD SHARMA ENGLISH-MEAN VALUE THEOREMS-All Questions
  1. It is given that the Rolles theorem holds for the function f(x)=x^3...

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  2. Verify lagranges mean value theorem for the function f(x)=(x-3)(x-6)...

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  3. Verify Lagranges mean value theorem for f(x)=x(x-1) on [1,\ 2] on th...

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  4. Verify Lagranges mean value theorem for f(x)=x(x-1)(x-2) on [0,\ 1/2...

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  5. Find the derivative of y=sqrt(x-2) with respect to x

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  6. Verify Lagranges mean value theorem for f(x)=x-2sinx on [-pi,\ pi]

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  7. Verify Lagranges mean value theorem for f(x)=2sinx+sin2x on [0,\ pi...

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  8. Find the second order derivative of f(x)=log x with respect to x

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  9. Find the second order derivative of tanx with respect to x

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  10. Find the derivative of cos (x + y) = y with respect to x .

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  11. Find the derivative of sin(x +y) = 80 with respect to x

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  12. Find the derivative of cot( x+ y ) = xy with respect to x .

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  13. Find the second order derivative of y = sinx + cosx with respect t...

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  14. Find the derivative of tanxy = sinx with respect to x .

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  15. Find the second order derivative for function f(x)=x^2-1 with respect ...

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  16. Find the derivative for function f(x)=x^3-2x^2-x+3 with respect to x

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  17. Find the derivative for function f(x)=x(x-1) with respect to x

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  18. Find the derivative for function f(x)=x^2-3x+2 with respect to x

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  19. Find the derivative for function f(x)=2x^2-3x+1 with respect to x

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  20. Find the derivative for function f(x)=x^2-2x+4 with respect to x

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