TAYLOR'S THEOREM & MACLAURIN'S THEOREM FOR TWO VARIABLES | EXPANSION OF FUNCTION OF SEVERAL VARIABLE

problems discussed in this video 19:04 SHOW THAT e^y.log(1+x)=x+xy-x^2/2 approximately. 29:28 Expand Sin(xy) in powers of (x-1) & (y-pi/2) upto the second degree terms. 41:07 expand x^2y+3y-2 in powers of x-1 & y+2 using Taylor's theorem. 54:35 Expand x^y in powers of (x-1) & (y-1) upto the third degree terms and hence evaluate (1.1)^1.02. 01:08:50 Expand y^x about (1,1) upto second degree term and hence evaluate (1.02)^1.03. 01:34:06 Expand e^x.Cosy in powers of x and y as far as the terms of third degree. TAYLOR'S THEOREM FOR TWO VARIABLES MACLAURIN'S THEOREM FOR TWO VARIABLES EXPANSION OF FUNCTION OF SEVERAL VARIABLEs #praveshsirmaths #engineeringmathematics1 #engineeringmathematics #differentialcalculas #aktuengineeringmathematics1