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Find the derivatives of the following fu...

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

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE
  1. Find the derivatives of the following function : f(x) =pi.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If y=1+(x)/(1!)+(x^(2))/(2!)+(x^(3))/(3!)+ . . .+(x^(n))/(n!), prove t...

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  18. Find the derivatives of the following function at any point of their d...

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  19. Find the derivatives of the following function at any point of their d...

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  20. Find the derivatives of the following function at any point of their d...

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