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Differentiate the following from ab-init...

Differentiate the following from ab-initio (or from definition) :
`(x^(2)-6)/(3x), x ne 0`

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE 13 (d)
  1. If f(x)=3x^(2)+5x-1, find f^(')(x)

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  2. Let y=ax^(2)+3, where 'a' is constant. Find (dy)/(dx) by the delta met...

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  3. Find, from first principles, the derivative of the following w.r.t. x ...

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  4. Find, from first principles, the derivative of the following w.r.t. x ...

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  5. Find, from first principles, the derivative of the following w.r.t. x ...

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  6. Find, the derivative of the following w.r.t. x : x^(-3/4)

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  7. Find, from first principles, the derivative of the following w.r.t. x ...

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  8. Find, from first principles, the derivative of the following w.r.t. x ...

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  9. Find, from first principles, the derivative of the following w.r.t. x ...

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  10. Find, the derivative of the following w.r.t. x : sqrt(x)+1/sqrt(x)

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  11. Find, from first principles, the derivative of the following w.r.t. x ...

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  12. Differentiate the following by delta method : (x-1)(x-2)

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  13. Differentiate the following by : (x+1)(x+2)(x+3)

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  14. Differentiate the following from ab-initio (or from definition) : x+...

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  15. Differentiate the following from ab-initio (or from definition) : x-...

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  16. Differentiate the following from ab-initio (or from definition) : (x...

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  17. Differentiate the following from ab-initio (or from definition) : (x...

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  18. Differentiate each of the following from first principle: (2x+3)/(x-2)

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  19. Differentiate the following from ab-initio (or from definition) : (x...

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  20. Differentiate each of the following from first principle: (x+2)^3

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