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At what points on the curve `y=x^2` on `[-2,\ 2]` is the tangent parallel to x-axis?

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RD SHARMA ENGLISH-MEAN VALUE THEOREMS-All Questions
  1. Verify Rolles theorem for the function: f(x)=sinx-sin2x on [0,\ pi]

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  2. find the second order derivative of y=16-x^2 with respect to x .

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  3. At what points on the curve y=x^2 on [-2,\ 2] is the tangent parall...

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  4. At what points on the curve y= e^1-x^2 on [-1,\ 1] is the tangent pa...

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  5. At what points on the curve y=12(x+1)(x-2) is the tangent parallel t...

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  6. If f:[-5,\ 5]->R is differentiable and if f^(prime)(x) doesnt vanis...

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  7. Examine if Rolle's theorem is applicable to any one of the following...

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  8. It is given that the Rolles theorem holds for the function f(x)=x^3...

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

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

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

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

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

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

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

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

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

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

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

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

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