If f(x) is defined by f(x) = sin 2x, if `x leq pi/6`; ax + b if `x geqpi/6` Find the values of a and b, if f(x) and f'(x) are continuous at x = `pi/ 6`

the function f(x)=(6/5)^((tan6x)/(tan5x)) if x is 0 to pi/2 and f(x)=b+2 if x=pi/2 and f(x)=(1+|cosx|)^{(a*|tanx|)/b} if x is pi/2 to pi Determine the values of a&b. if f is continuous at x=pi/2

Let f(x)={{:(,sin2x,0 lt x le xpi//6),(,ax+b,pi//6 lt x lt 1):} If f(x) and f'(x) are continuous, then

The function f(x) = (1-sin x + cos x)/(1+sin x + cosx) is not defined at x = pi . The value of f(pi) , so that f(x) is continuous at x = pi is

The function f(x) = (1-sin x + cos x)/(1+sin x + cosx) is not defined at x = pi . The value of f(pi) , so that f(x) is continuous at x = pi is

If f:A rarr R is defined by f(x)=cosx-x(1+x) and A={x:(pi)/(6)le x le(pi)/(3)} then range of f is

Let f(x) =(kcosx)/(pi-2x) if x!=pi/2 and f(x)=3 if x=pi/2 then find the value of k if lim_(x->pi/2) f(x)=f(pi/2)

If f(x) = |sin x - cosx| , find f' ( pi//6)