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if f(x) = x^n then the value of f(1) - (...

if `f(x) = x^n` then the value of `f(1) - (f'(1))/(1!) + (f''(1))/(2!) + ---+((-1)^n f''^--n times (1))/(n!)`

A

1

B

`2^(n)`

C

`2^(n-1)`

D

0

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The correct Answer is:
D
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ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
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  3. Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for ...

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  4. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

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  5. If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo)))), then (dy)/(dx) is equal to

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  6. If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

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  7. Let f(x)=x^2+xg^2(1)+g^''(2) and g(x)=f(1).x^2+xf'(x)+f''(x), then fin...

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  8. if f(x) = x^n then the value of f(1) - (f'(1))/(1!) + (f''(1))/(2!) +...

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  9. If y+log(1+x)=0 which of the following is true?

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  10. If y=2^(3^(x)), then y' equals

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  11. If g is the inverse of fandf(x) = x^(2)+3x-3,(xgt0). then g'(1) equal...

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  12. If x^3-2x^2y^2+5x+y-5=0a n dy(1)=1,t h e n y^(prime)(1)=4/3 (b) y^(1)...

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  13. let y=sqrt(x+sqrt(x+sqrtx...oo))) then dy//dx equals

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  14. Ify=x^((lnx)^ln(lnx)) , then (dy)/(dx) is equal to

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  15. Which of the following functions are not derivable at x=0?

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  16. Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1).x then

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  17. If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx)is equal to

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  19. If sqrt(y+x)+sqrt(y-x)=c, where cne0, then (dy)/(dx) has the value equ...

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  20. If y = tan x tan 2x tan 3x, (sin 12x != 0) then dy / dx has the value ...

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