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

Find the derivative of `x^(n)+ax^(n-1)+a^(2)x^(n-2)+…+a^(n-1)x+a^(n)` for some fixed real number a.

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The correct Answer is:
`nx^(n-1)+a(n-1)x^(n-2)+a^(2)(n-2)x^(n-3)+…+a^(n-1)`
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NCERT GUJARATI-LIMITS AND DERIVATIVES-EXERCISE 13.2
  1. Find the derivative of the following functions from first principle. ...

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

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

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  4. For some constants a and b, find the derivative of (x-a)(x-b)

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

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  6. For some constants a and b, find the derivative of (x-a)/(x-b)

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

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  8. Find the derivative of 2x-(3)/(4)

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

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

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

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  12. Find the derivate of x^(-4)(3-4x^(-5))

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  13. Find the derivate of (2)/(x+1)-(x^(2))/(3x-1)

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

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  15. Find the derivative of the following functions: sinxcosx

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  16. Find the derivative of the following functions: secx

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

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  18. Find the derivative of the following functions: "cosec"x

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  19. Find the derivative of the following functions: 3cotx+5" cosec "x

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

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