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Find the derivative of (x^n - a^n)/(x-a)...

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

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A N EXCEL PUBLICATION-LIMITS AND DERIVATIVES-QUESTION BANK
  1. Find the derivative of y=(ax^2+b)^2

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

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

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

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

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

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

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

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

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

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

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  12. Find the derivative of the following function sec x

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

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  14. Find the derivative of the function cosec x

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

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  16. Find the derivative of the following functions 5 sin x - 6 cos x + 7

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  17. Find the derivative of the following functions 2 tan x - 7 sec x

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  18. Consider the function f(x) = { ((x^2 - 4)/abs(x-2) : x ne 2), (2 : x =...

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  19. Consider the function f(x) = { ((x^2 - 4)/abs(x-2) : x ne 2), (2 : x =...

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  20. Given that d/(dx) (c1u1 +- c2u2 +- .........+- cnun) = c1d/(dx)(u1) +-...

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