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" (b) y=(sin x-cos x)^((sin x-cos x)) fi...

" (b)` y=(sin x-cos x)^((sin x-cos x))` find `dy/dx`

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Knowledge Check

  • If y= (sin x + cos x)/( sin x- cos x) , find (dy)/(dx) .

    A
    `(2)/( ( sin x- cos x)^2)`
    B
    `(-2)/( (sin x - cosx)^2)`
    C
    `(-2)/( (sinx + cos x)^2)`
    D
    None of these
  • If y= (sinx -cos x )^((sin x +cos x ) ),then (dy)/(dx)=

    A
    ` y(((sin x+cos x )^(2))/( sin x-cos x )+ (cosx -sinx )log (sinx -cos x ) )`
    B
    ` y(((sin x+cos x )^(2))/( sin x-cos x )- (cosx -sinx )log (sinx -cos x ) )`
    C
    ` y((sin x+cos x )/( sin x-cos x )+ (cosx -sinx )log (sinx -cos x ) )`
    D
    ` y((sin x+cos x )/( sin x-cos x )- (cosx -sinx )log (sinx -cos x ) )`
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