[(d^(2)x)/(dy^(2))" is: "],[[-(e^(x))/((1+x)^(3)),(C)-(e^(x))/((1+e)^(2)),(D)]]

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))

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

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

If y=x+e^x, then (d^2x)/(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)

If y=x+e^x, then (d^2x)/(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)

(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]]

int(2)/((e^(x)+e^(-x))^(2))dx(e^(-x))/(e^(x)+e^(-x))+C(b)-(1)/(e^(x)+e^(-x))+C(c)(-1)/((e^(x)+1)^(2))+C(d)(1)/(e^(x)-e^(-x))+C

find the order and degree of D.E : (1) ((d^(2)y)/(dx^(2) ))^2 + ((dy)/(dx))^(3) = e^(x) (2) sqrt(1 + 1/((dy)/(dx))^(2))= ((d^(2)y)/(dx^(2)))^(3/2) (3) e^((dy)/(dx))+ (dy)/(dx) =x

int(1)/(x^(2))e^((x-1)/(x))=......," (A) "(x)/(e^(x-1))+c," (B) "e^((x-1)/(x))+c," (C) "-e^((x)/(x-1))+c," (D) "-e^((x-1)/(x))+c

Let y=e^(2x)dot Then((d^(2)y)/(dx^(2)))((d^(2)x)/(dy^(2)))is(A)1(B)e^(-2x)(C)2e^(-2x)