Home
Class 11
MATHS
If f(x) = (cos x + i sin x)(cos 3x + i s...

If `f(x) = (cos x + i sin x)(cos 3x + i sin 3x) ….(cos (2n - 1)x + i(sin(2n - 1)x)`, then `f^(11)(x)` is

A

`n^2f(x) `

B

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

C

`-n^2f(x)`

D

`n^4f(x)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|13 Videos
  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(LINKED COMPREHENSION TYPE QUESTIONS)|11 Videos
  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos
  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

int (3 cos 3x-2 sin 2x)/(cos 2x+ sin 3x)dx=

(sin 3x + sin x ) sin x + (cos 3x - cos x) cos x =0

Solve sin 3x + sin x + 2 cos x = sin 2x + 2 cos^(2)x

If f(x) = cos x cos 2x cos 2^2 x cos^(2^3) x .....cos 2^(n-1) x and n gt 1 then f^(1)(pi/2) is

(sin x + sin 3x )/( cos x + cos 3x )= tan 2x

If f(x) = |cos x - sin x| , then f^(1)(pi/4) =

(cos 9x - cos 5x )/( sin 17 x- sin 3x )=- (sin 2x)/( cos 10x )

If f_(n)(x) = (sin x)/(cos3x)+(sin 3x)/(cos 3^(2)x) +(sin 3^(2)x)/(cos 3^(3)x) +....+ (sin 3^(n-1)x)/(cos 3^(n)x)"Then" f_(2) ((pi)/(4)) + f_(3) ((pi)/(4))=

(sin x - sin 3x)/( sin ^(2) x - cos ^(2) x) = 2 sin x