फलन `f(x ) = sin x- cos x , 0 lt xlt 2pi ` का स्थानीय उच्चतम है जहाँ x मान है :

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

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

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

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

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

Let f(x) = {:{( sin x +cos x, 0 lt x lt (pi)/(2) ),( a, x = pi//2) , ( tan ^(2) x + cosecx , pi//2lt xlt pi ):} then its odd extension is

The larger of sin x+ tan x,2x in 0 lt xlt pi//2 is

Find the local maxima and local minima of the functions: (i) f(x) = (sin x - cos x), " When " 0 lt x lt (pi)/(2) (ii) f(x) = (2 cos x + x), " when " 0 lt x lt pi