" 7."sqrt(e^(sqrt(x))),x>0quad " 8."

The derivative of sqrt(e^(sqrt(x))), x gt 0 with respect to x is

int(e^(sqrt(x)))/(sqrt(x))dx

int e^sqrt(x)/sqrt(x)dx

int(e^(sqrt(x)))/(sqrt(x)) dx =

=int(e^(sqrt(x)))/(sqrt(x))dx

If y=y(x) satisfies the differential equation 8sqrt(x)(sqrt(9+sqrt(x)))dy=(sqrt(4+sqrt(9+sqrt(x))))^(-1)dx,x>0 and y(0)=sqrt(7,) then y(256)=(A)16(B)80(C)3(D)

lim_(x rarr a)(e^(sqrt(x))-e^(sqrt(a)))/(x-a)

int(sqrt(e^x))/(sqrt(e^(-x)-e^x))dx=

int((e^(sqrt(x))-e^(-sqrt(x)))cos(e^(sqrt(x))+e^(-sqrt(x))+(pi)/(4))+(e^(sqrt(x))+e^(-sqrt(x)))cos(e^(sqrt(x))-e^(-sqrt(x))+(pi)/(4)))/(sqrt(x))