If ` y=x. e^x` then `y_n=?`
a) `e^x (n+x)` b) `e^x (1+x)` c) `n+x` d) `0`

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))

y=e^(3x+7) then y_(n)(0)=.........

If (x+y)^(m+n)=x^my^n then dy/dx= (A) x/y (B) -y/x (C) -x/y (D) y/x

Solution of x dy/dx+y=xe^x is (A) xy=e^x(x+1)+C (B) xy=e^x(x-1)+C (C) xy=e^x(1-x)+C (D) xy=e^y(y-1)+C

(e^(y)+1)cos x dx+e^(y)sin x dy =0 A) (e^(y)+1)sin x =c B) (e^(y)+1)=c tan x C) e^(y)sin x + cos x=c D) (e^(x)+1)sin y=c

If y=1/(1+x^(n-m)+x^(p-m))+1/(1+x^(m-n)+x^(p-n))+1/(1+x^(m-p)+x^(n-p)) then (dy)/(dx) at e^m^n^p is equal to: e^(m n p) (b) e^(m n//p) (c) e^(n p//m) (d) none

lim_ (x rarr oo) (e ^ (x) sin ((x ^ (n)) / (e ^ (x)))) / (x ^ (n))

The area bounded by y=|e^|x|-e^(-x)| , the x-axis and x=1 is (A) int_0^1 (e^x-e^(-x))dx (B) e+e^(-1)-2 (C) e+e^(-1)+2 (D) (sqrt(e)-1/sqrt(e))^2

If x=e^(y+e^(y+e^y^(------ ∞))) , x>0 , then (dy)/(dx) is equal to (A) (x)/(1+x) (B) (1)/(x) (C) (1-x)/(x) (D) (1+x)/(x)