`(d)/(dx){sin^(-1)(e^(x))}` is equal to
(a) `e^(x)sin^(-1)(e^(x))`
(b) `(e^(x))/(sqrt(1-e^(2x)))`
(c) `(e^(x))/(1-e^(x))`
(d) `e^(x)cos^(-1)x]]`

(d)/(dx)[log_(e)e^(sin(x^(2)))] is equal to

(d)/(dx)(e^(x)sin sqrt(3)x) equals-

int e^(x)((x-2)/((x-1)^(2)))dx is equal to (i) (e^(x))/(x-1)+C (ii) (e^(x))/((x-1)^(2))+C( iii) (2e^(x))/((x-1)^(2))+C( iv )(e^(x)-1)/(x-1)+C

int(1)/(1+e^(x))dx= (a) log(1+e^(x)) (b) log((1+e^(x))/(e^(x))) (c) log(1+e^(-x)) (d) -log(e^(-x)+1)

int e^(sin^(-1)x)((log_(e)x)/(sqrt(1-x^(2)))+(1)/(x))dx is equal to

If y=x+e^(x), then (d^(2)x)/(dy^(2)) is (a) e^(x)(b)-(e^(x))/((1+e^(x))^(3))(c)-(e^(x))/((1+e^(x))^(3))(d)(-1)/((1+e^(x))^(3))

int_(-2)^(-1) sqrt(5+x)(sin^(-1)(e^(x))+cos^(-1)(e^(x)))dx

Choose the correct answers int(dx)/(e^x+e^(-x)) is equal to (A) tan^(-1)(e^x)+C (B) tan^(-1)(e^(-x))+C (C) log(e^x-e^(-x))+C (D) log(e^x+e^(-x))+C

Differentiate (e^(x)+e^(-x))/(e^(x)-e^(-x))

d/(dx) (e^(x sin x)) =