Differential coefficient of ` sqrt(secsqrt (x))` is

Differential coefficient of cos^(-1)(sqrt(x)) with respect to sqrt((1-x)) is equal to.....

Differential coefficient of cos^(-1)(sqrt(x)) with respect to sqrt((1-x)) is equal to.....

Find from first principles differential coefficients of sqrt( x^(2)+1)

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)))

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

The differential coefficient of x|x| is

The differential coefficient of tan^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))