Home
Class 12
MATHS
Find f'(x)" if "f(x)= (sin x)^(sin x) fo...

Find `f'(x)" if "f(x)= (sin x)^(sin x)` for all `0 lt x lt pi`.

Text Solution

Verified by Experts

The correct Answer is:
`=(1+ log( sin x))(sin x)^(sin x) cos x`.
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TAMIL|Exercise EXERCISE 5.1|39 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TAMIL|Exercise EXERCISE 5.2|10 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 5|23 Videos
  • COMPLEX NUMBERS

    NCERT TAMIL|Exercise EXERCISE 2.9|25 Videos
  • DETERMINANTS

    NCERT TAMIL|Exercise Miscellaneous Exercises on Chapter 4|19 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=sin[pi/6sin(pi/2sinx)] for all x in RR

The function f(x) = sin ^(4)x+ cos ^(4)x increases, if (A) 0 lt x lt (pi)/(8) (B) (pi)/(4) lt x lt (3pi)/(8) (C) ( 3pi)/(8) lt x lt (5pi)/(8) (D) ( 5pi)/(8) lt x lt(3pi)/(4)

Find sin (x - y) given that sin x = (8)/(17) with 0 lt x lt (pi)/(2) and cos y = - (24)/(25) with pi lt y lt (3pi)/(2) .

Differentiate w.r.t.x the function. (sin x- cos x)^( sin x - cos x), (pi)/(4) lt x lt (3pi)/(4) .

Find (dy)/(dx)," if "y= sin^(-1)x +sin^(-1)sqrt(1-x^(2)), 0 lt x lt 1 .

Suppose y=f(x) and y=g(x) are two continuous functiond whose graphs intersect at the three points (0,4),(2,2) and (4,0) with f(x) gt g(x) for 0 lt x lt 2 and f(x) lt g(x) for 2 lt x lt 4 . If int_0^4[f(x)-g(x)]dx=10 and int_2^4[g(x)-f(x)]dx=5 the area between two curves for 0 lt x lt 2 ,is (A) 5 (B) 10 (C) 15 (D) 20

Differentiate w.r.t.x the function. cot^(-1)[(sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x))],0 lt x lt (pi)/(2) .

Find the area bounded by the following curve : (i) f(x) = sinx, g(x) = sin^(2)x, 0 le x le 2pi (ii) f(x) = sinx, g(x) = sin^(4)x, 0 le x le 2pi

Find the range of f(x) = (sin^(-1) x)^(2) + 2pi cos^(-1) x + pi^(2)