[" 8.If "f(x)=(x)/(sqrt(1-x^(2))),g(x)=(x)/(sqrt(1+x^(2)))],[(d)/(dx)(fog)(x)=]

If f(x)=(x)/(sqrt(1-x^(2))),g(x)=(x)/(sqrt(1+x^(2))) then ( fog )(x)=

If f(x)=(x)/(sqrt(1-x^(2))), g(x)=(x)/(sqrt(1+x^(2))) then (fog)(x)=

If f(x)=x/(sqrt(1-x^2)),g(x) = x/(sqrt(1+x^2)) , then d/(dx)(fog(x)) =

If f(x)=(x)/(sqrt(1-x^(2))),g(x)=(x)/(sqrt(1-2x^(2))) then (gof) (x) is

f is a strictly monotonic differentiable function with f'(x)=(1)/(sqrt(1+x^(3)))* If g is the inverse of f, then g^(x)= a.(2x^(2))/(2sqrt(1+x^(3))) b.(2g^(2)(x))/(2sqrt(1+g^(2)(x))) c.(3)/(2)g^(2)(x) d.(x^(2))/(sqrt(1+x^(3)))

f(x)=1/abs(x), g(x)=sqrt(x^(-2))

f(x)=1/abs(x), g(x)=sqrt(x^(-2))

Differential coefficient of sec(tan^(-1)x) is (x)/(1+x^(2))( b) x sqrt(1+x^(2))(c)(1)/(sqrt(1+x^(2))) (d) (x)/(sqrt(1+x^(2)))

(d)/(dx)[cos^(-1)(x sqrt(x)-sqrt((1-x)(1-x^(2))))]=(1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(-1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))+(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))0 b.1/4c.-1/4d none of these