If `f(x)={(1+|sinx|)^(a/(|sinx|), -pi/6

Let f(x)={({1+|sinx|}^(a//|sinx|), -pi//6ltxlt0),(b, x=0),(e^(tan2x//tan3x), 0 Determine a and b such that f(x) is continuous at x=0

If f(x)={{:((1+|sinx|)^((p)/(|sinx|)),",",-(pi)/(6)ltxlt0),(q,":",x=0),(e^(tan3x.cot5x),":",0ltxlt(pi)/(6)):} is continuous at x = 0, then the value of 2p+10lnq is equal to

If f(x)={{:((1+|sinx|)^((p)/(|sinx|)),",",-(pi)/(6)ltxlt0),(q,":",x=0),(e^(tan3x.cot5x),":",0ltxlt(pi)/(6)):} is continuous at x = 0, then the value of 2p+10lnq is equal to

Let f(x)={{:((1+|sinx|)^((1)/(|sinx|))",",-(pi)/(6)ltxlt0),(e^((tan2x)/(tan3x))",", 0ltxlt(pi)/(6)),(m",",x=0):} at x=0 . Then, the value of l and m are

If f(x)=|x|^(|sinx|) then f^1(-pi/4) is equal to

If f(x) = |cosx-sinx|, then f ' (pi//6) is equal to

If f(x)=(1-cosx)/(1-sinx)," then: "f'((pi)/(2)) is

If f(x)=|cosx-sinx|," then "f^(1)(pi/6) is equal to