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For the function f(x)=(x^(100))/(100)+...

For the function
`f(x)=(x^(100))/(100)+(x^(99))/(99)+ .......+(x^(2))/2)+x+1`.
prove that f(1)=100f(0).

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-NCERT FILE - EXERCISE 13.2
  1. Find the derivatives of the following function from first principle: 1...

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

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  3. For the function f(x)=(x^(100))/(100)+(x^(99))/(99)+ .......+(x^(2))...

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

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  5. For some constants a and b, find the derivative of (i) (x" "" "a)" "(x...

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  6. For some constants a and b, find the derivative of : (ax^(2)+b)^(2)

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  7. For some constants a and b, find the derivative of : (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 (i) 2x-3/4 (ii) (5x^3+3x-1)(x-1) (iii) x^(-3)...

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

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

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

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

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  14. Find the derivative of 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: (i) sin x cos x (ii)...

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  17. Find the derivative of the following functions : secx

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  18. Find the derivative of the following functions : 5secx+4cosx

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  19. Find the derivative of the following functions : cosecx

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  20. Find the derivative of the following functions : 3cotx+5cosecx

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