Define f : [-1/2,infinity)
→ R by f(x) = √1+2x, XE
[-1/2,infinity)

Then compute lim x tends to (-1/2)+ f(x). Hence find lim x tends to -1/2
f(x).

Find the directions in which the function increases and decreases most rapidly at upper p 0p0. then find the derivatives of the function in these directions. f(x,y)equals=x squared plus xy plus y squaredx2+xy+y2, upper p 0p0left parenthesis 1 comma negative 4 right parenthesis