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Differentiate the following from ab-init...

Differentiate the following from ab-initio (or from definition) :
`(x+2)^3` .

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE
  1. Differentiate the following from ab-initio (or from definition) : (2...

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

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

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  4. Find the derivatives of the following function : f (x) =a.

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  5. Find the derivatives of the following function : f(x) =pi.

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  6. Find the derivatives of the following function : f (x) =x+a.

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  7. Find the derivatives of the following function : f(x) =(ax + b)^n.

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  8. Find the derivatives of the following function : f(x) = 2x-3/4.

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  9. Find the derivatives of the following function : f(x) =x^3+4x^2+3x +...

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  10. Find the derivatives of the following function : y=x^2.

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  11. Find the derivatives of the following function : y= 5/2 x^7.

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  12. For the following function , evaluate the derivative at the indicated ...

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  13. For the following function , evaluate the derivative at the indicated ...

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  14. For the following function , evaluate the derivative at the indicated ...

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  15. For the following function , evaluate the derivative at the indicated ...

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  16. If f(x) =x^n and if f’ (1) = 10, find n.

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  17. Find a if f’ (a) =0, where f(x) =x^3- 3x^2 + 3x-1.

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  18. If f(x) = alpha x^n, prove that alpha= (f'(1))/n .

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  19. Prove from first principles, that d/(dx)(alpha x^n)=alpha nx^(n-1) .

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  20. Use the delta method to find the derivative of f (x) = x^4 .Hence find...

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