Home
Class 11
MATHS
If y = log ( sqrt( sin x - cos x)) , tha...

If `y = log ( sqrt( sin x - cos x))` , that prove that `(dy)/(dx) = - (1)/(2) tan ((pi)/( 4) + x)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER -12

    ICSE|Exercise Section - B |10 Videos
  • MODEL TEST PAPER -12

    ICSE|Exercise Section - C |10 Videos
  • MODEL TEST PAPER -11

    ICSE|Exercise Sections - C|10 Videos
  • MODEL TEST PAPER -13

    ICSE|Exercise SECTION -C|10 Videos

Similar Questions

Explore conceptually related problems

if y=sqrt((1-cos x )/(2)) , the n prove that (dy)/(dx)=1/2cos" x/2.

If x sqrt ( 1+ y) + y sqrt( 1+x) =0 , prove that (dy)/( dx) = - (1)/( (1+x)^2) .

If y=sinx.cos(2x) then prove that (dy)/(dx)=y[cotx-2tan2x]

If y=log(sqrt(x)+sqrt(1/x)), prove that (dy)/(dx)=(x-1)/(2x(x+1))

If tan^(-1) (y/x) = log sqrt(x^(2) + y^(2)) , prove that dy/dx = (x+y)/(x-y)

If y=sqrt(x+sqrt(x+sqrt(x+\ dotto\ oo))) , prove that (dy)/(dx)=1/(2\ y-1)

If tan^(-1)(Y/X) = log (sqrt(X^2+Y^2)) , prove that (dy/dx) = ((X+Y)/(X-Y))

If y = ( tan x)/( 1+ tan^2 x), Prove that (dy)/(dx) = cos 2x.

If y=sin^(-1)(cos x)+cos^(-1)(sin x) , prove that (dy)/(dx)=-2

If y= y=sqrt((1-sin 2x )/(1+sin 2 x)) prove that (dy)/(dx)+sec^2(pi/4-x)=0.