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If f(x)=x^(100)/100+x^(99)/99+......+x^2...

If `f(x)=x^(100)/100+x^(99)/99+......+x^2/2+x+1` prove that `f'(1)=100f'(0)`

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A N EXCEL PUBLICATION-LIMITS AND DERIVATIVES-QUESTION BANK
  1. Find the derivative of the following functions from first principle 1/...

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  2. Find the derivative of the following functions from first principle (x...

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  3. If f(x)=x^(100)/100+x^(99)/99+......+x^2/2+x+1 prove that f'(1)=100f'...

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  4. Find the derivative of x^n + ax^(n-1) + a^2x^(n-2) + ...+ a^(n-1)x + a...

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  5. Find the derivative of y=(x-a)(x-b)

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  6. Find the derivative of y=(ax^2+b)^2

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  7. Find the derivative of y=(x-a)/(x-b)

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  8. Find the derivative of (x^n - a^n)/(x-a) for some constant a .

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  9. Find the derivative of the following 2x-3/4

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  10. Find the derivative of the following (5x^3 + 3x -1)(x-1)

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  11. Find the derivative of the following x^-3(5 + 3x)

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  12. Find the derivative of the following x^5 ( 3- 6x^-9)

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  13. Find the derivative of the following x^-4 ( 3- 4x^-5)

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  14. Differentiate 2/(x+1)-x^2/(3x-1)

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  15. Find the derivative of cos x from first principle.

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  16. Find the derivative of the following functions sin x cos x

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  17. Find the derivative of the following function sec x

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  18. Find the derivative of the following functions 5 sec x + 4 cos x

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  19. Find the derivative of the function cosec x

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  20. Find the derivative of the following functions 3 cot x + 5 cosec x

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