The differential coefficient of `a^(log10" cosec"^(-1)x)`, is
A. `(a^(log10("cosec"^(-1)x)))/("cosec"^(-1)x)(1)/(xsqrt(x^(2)-1))log_(10)a`
B. `-(a^(log10("cosec"^(-1)x)))/("cosec"^(-1)x).(1)/(|x|sqrt(x^(2)-1))log_(10)a`
C. `(-a^(log10("cosec"^(-1)x)))/("cosec"^(-1)x).(1)/(|x|sqrt(x^(2)-1))log_(a)10`
D. `(a^(log10"cosec"^(-1)x))/("cosec"^(-1)x).(1)/(xsqrt(x^(2)-1))log_(a)10`