Home
Class 12
MATHS
If f(x)=(cosx+isinx)(cos3x+isin3x)...(co...

If `f(x)=(cosx+isinx)(cos3x+isin3x)...(cos(2n-1)x+isin(2n-1)x)`
then `f''(x)` is

A

`n^2y`

B

`-n^4y`

C

`-n^2y`

D

`n^4y`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If : f(x)=(sin^(2)x)/(1+cotx)+(cos^(2)x)/(1+tanx)," then: "f'((pi)/(4))=

If f(x)=(x^(2)-1)/x^(3) , then intf(x)dx is

If f(x) = (x-1)/(x+1) , then f(2x) is equal to

f(x)=cos^(2)x+cos^(2)(pi/3+x)-cosx*cos(x+pi/3) is

If f(x) = cos x cos 2x cos 4x cos (8x). cos 16x then find f' (pi/4)

If f(x)=|{:(x,sinx,cosx),(x^2,tanx,x^3),(2x,sin2x,5x):}| then lim_(x to 0)(f'(x))/x is equal to

If int(sin2x)/(sin^(4)x+cos^(4)x)dx=tan^(-1)[f(x)]+c , then f(pi/3)=

If f(x)=sqrt(1+cos^2(x^2)) , then f'(sqrtpi/2) is

Let f(x) = |{:(secx,cosx,sec^(2)x+cotx cosecx),(cos^(2)x,cos^(2)x,cosec^(2)x),(1,cos^(2)x,cos^(2)x):}| then find the value of int_(0)^(pi//2) f(x) dx.