" 11."(x cos x)^(x)+(x sin x)^((-1)/(x))

Differentiate the functions given in Exercises 1 to 11 w.r.t. x. (x cos x)^(x)+ ( x sin x)^(1/x) .

(sin x+x cos x)/(x sin x-cos x)

Differentiate w.r.t.x the function in Exercises 1 to 11. (sin x- cos x)^( sin x - cos x), (pi)/(4) lt x lt (3pi)/(4) .

If f(x)=(cos x-sin x)/(cos x+sin x) then f^(-1)(x)=

The minimum value of sin x((1-cos x)/(sin x)+(sin x)/(1-cos x)) is

Maximum value of cos x((cos x)/(1-sin x)+(1-sin x)/(cos x))

(cos^(3) x- sin^(2) x)/(cos x - sin x)=(1)/(2) (2 + sin 2x)

If y = |{:(sin x , cos x , sin x),(cos x,-sin x, cos x),(x, 1, 1):}| , then (dy)/(dx) is

1- (sin ^ (2) x) / (1 + cos x) + (1 + cos x) / (sin x) - (sin x) / (1-cos x) =