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Let f(x)=x(x-1)(x-2) , x in [0,2] Find...

Let `f(x)=x(x-1)(x-2)` , `x in [0,2]`
Find thevalues of x where `f^'(x)=0` verify Rolle's theorem.

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MAXIMUM PUBLICATION-CONTINUITY & DIFFERENTIABILITY-EXAMPLE
  1. Let f(x)=x(x-1)(x-2) , x in [0,2] Find f(0) and f(2)

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  2. Let f(x)=x(x-1)(x-2) , x in [0,2] Find f^'(x)

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  3. Let f(x)=x(x-1)(x-2) , x in [0,2] Find thevalues of x where f^'(x)=0...

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  4. Verify Rolle's Theorem for the function f(x)=x^2+2x-8 , x in [-4,2]

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  5. Examine that Rolle's Theorem is applicable to the function in the give...

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  6. Examine that Rolle's Theorem is applicable to the function in the give...

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  7. Examine the continuity of the function f(x)={(absx+3,,xle-3),(-2x,,-...

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  8. Test continuity for the folowing functions. f(x)={(xsin(1/x), x ne0)...

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  9. Test continuity for the folowing functions. f(x)={(2^(1/x), x ne0),(...

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  10. Test continuity for the folowing functions. f(x)={((x^2-4x+3)/(x^2-1...

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  11. If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y^2=(sin^(-1)x)^2

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  12. If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y1-xy=1

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  13. If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y2-3xy1-y=0

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  14. At what point on the curve y=x^2 , x in [-2,2] at which the tangent is...

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  15. If f(x)=(sqrt((1+px))-sqrt((1-px)))/x , -1lex<0 =(2x+1)/(x-2) , 0lex...

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  16. If f(x)=(sqrt((1+px))-sqrt((1-px)))/x , -1lex<0 =(2x+1)/(x-2) , 0lex...

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  17. If f(x)=(sqrt((1+px))-sqrt((1-px)))/x , -1lex<0 =(2x+1)/(x-2) , 0lex...

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  18. If ax^2+2hxy+by^2=1 Find dy/dx

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  19. If ax^2+2hxy+by^2=1 Find (d^2y)/(dx^2)

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  20. Consider the function y=x^xsqrtx Express the above function as logy=...

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