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If f(x) is given by f(x)=(cosx+i sinx)...

If `f(x)` is given by
`f(x)=(cosx+i sinx)(cos3x+isin3x)`.........
.......`[cos(2n-1)x+isin(2n-1)x]`,
then f''(x) is equal to

A

`n^(3)f(x)`

B

`-n^(4)f(x)`

C

`-n^(2)f(x)`

D

`n^(4)f(x)`

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
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  3. If f(x) is given by f(x)=(cosx+i sinx)(cos3x+isin3x)......... .......

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  4. Let f(x)=x^(n) , n being a non-negative integer, The value of n for w...

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  7. If f(x)=logx(lnx) then f'(x) at x=e is

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  8. Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for ...

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

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

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

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

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

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

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

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

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