Let `f(x) ={(sin2x 0leqxleqpi/6),(ax+b pi/6ltxlt1):}` If `f(x)` and `f'(x)` are continuous then `a=` `b=`

Let f(x) ={(sin2x , if 0leqxleqpi/6),(ax+b , if pi/6ltxlt1):} If f(x) and f'(x) are continuous then a & b are (A) a=1,b=(1)/(sqrt( 2)) +(pi)/(6) (B) a=(1) /( sqrt(2)),b=(1)/(sqrt(2)) (C) a=1,b=(sqrt(3))/(2)-(pi)/(6) (D) None of these

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

Let f(x)={[sin2x,0

If f(x) is defined by f(x)=sin2x, if x =(pi)/(6) Find the values of a and b, if f(x) and f'(x) are continuous at x=(pi)/(6)

Let f(x)={{:(,(1)/(|x|),"for "|x| gt1),(,ax^(2)+b,"for "|x| lt 1):} If f(x) is continuous and differentiable at any point, then