Solve the rational equation x over 4 equals x squared over quantity x plus 3 and check for extraneous solutions. x = 1; x = 0 is an extraneous solution
x = 0; x = −1 is an extraneous solution
x = 0 and x = 1
x = 0 and x = −1

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