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If f(x) = x^(100) + x^(99) + ….+x + 1, t...

If `f(x) = x^(100) + x^(99) + ….+x + 1`, then `f^(')(1)` is equal to

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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. If f(x) = 1+x + x^(2)/2 + …. + x^(100)/100, then f^(')(1) is equal to

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  2. If f(x)=(x^(n)-a^(n))/(x-a) for some constant 'a', then f'(a) is :

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  3. If f(x) = x^(100) + x^(99) + ….+x + 1, then f^(')(1) is equal to

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  4. If f(x) = 1-x + x^(2) - x^(3) + …. - x^(99) + x^(100), then f^(')(1) i...

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  5. Differential coefficient of sec(tan^(-1) x) is

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  6. If u=sin^(-1)((2x)/(1+x^(2))) and v=tan^(-1)((2x)/(1-x^(2))), then (du...

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  7. The set of points where the function f given by f(x) = |x-3| cos x is ...

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  8. The set of points where the function f given by f(x) = |2x-1|sin x is ...

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  9. The function f(x) = e^(|x|) is

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  10. Let f(x) = |sin x|. Then

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  11. If y= log ((1-x^(2))/(1+ x^(2))), then (dy)/(dx) is equal to

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  12. If y = sqrt(sinx + y) then dy/dx is equal to

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  13. The derivative of cos^(-1)(2x^(2)-1) w.r.t cos^(-1) x is

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  14. If x = t^(2), y = t^(3) then (d^(2)y)/(dx^(2)) is

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  15. The value of 'c' in Rolle's theorem for the function f(x)=x^(3)-3x in ...

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  16. For the function f(x) = x+1/x, x in [1,3] the value of c for mean valu...

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  17. The value of c in Rolle's theorem for the function f(x) = e^(x).sin x,...

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  18. The value of c in Mean value theorem, for the function f(x) = x(x2) an...

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  19. If y=sqrt(x+sqrt(x+sqrt(x+............oo))), m then dy/dx=

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  20. If x^(m)y^(n)=(x+y)^(m+n), then (dy)/(dx)=

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