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Evaluate lim(x rarr 0) [(10^x - 2^x - 5^...

Evaluate `lim_(x rarr 0) [(10^x - 2^x - 5^x + 1)/( x tanx)]`

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`(log_e 2)(log_e 5)`
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A N EXCEL PUBLICATION-LIMITS AND DERIVATIVES-QUESTION BANK
  1. Given that lim(x rarr 0) (a^x - 1)/x = log a and lim(x rarr 0) (tan x)...

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  2. Given that lim(x rarr 0) (a^x - 1)/x = log a and lim(x rarr 0) (tan x)...

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  3. Evaluate lim(x rarr 0) [(10^x - 2^x - 5^x + 1)/( x tanx)]

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  4. Find the derivative of the function f(x) = 2x^2 + 3x + 5 at x = 1

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  5. (a)Find the derivative of sin x+cos x from first principle

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  6. Derivative of x^2-2 at x=10 is ………..a)10 b)20 c)-10 d)-20

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  7. (a)Find the derivative of 99x at x=100.

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  8. Find the derivative of x at x = 1

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  9. Find the derivative of the following functions from first principle x^...

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

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  11. Find the derivative of the following functions from first principle 1/...

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

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

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

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

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

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

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

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

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

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