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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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V PUBLICATION-LIMITS AND DERIVATIVES-QUESTION BANK
  1. Find the derivative of (x+1)/(x-1) from first principle.

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

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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) ...

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

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

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  6. Find the derivative of i) 2x-3/4 ii) (5x^(3)+3x-1)(x-1) iii) x^(-3)(...

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  7. Find the derivative of cosx from first principle.

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

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  9. Find the derivative of f(x)=(2x+3)/(x-1)

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

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  11. Compute derivative of (i) f(x) = sin 2x (ii) g(x) = cot x.

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  12. Find the derivative of (x+cosx)/(tanx)

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  13. (b)Find the derivative of sin(x+1) from first principle.

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  14. Find the derivative of (ax+b)(cx+d)^(2)

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  15. Find the derivative of y=(ax+b)/(cx+d)

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  16. Find the derivative of the following (1+1/x)/(1-1/x).

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  17. Find the derivative of the following functions 1/(ax^(2)+bx+c)

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  18. Find the derivative of(ax+b)/(px^(2)+qx+r)

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  19. Find the derivative of (px^(2)+qx+r)/(ax+b)

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  20. Find the derivative of the following functions a/x^(4) - b/x^(2) + co...

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