Question

Question: The stationary point of the function
f(x,y) - sinx + siny + sin(x + y)​

Answer 1

Step-by-step explanation:

Let f(x, y) = sinx + siny + sin(x + y) We have fx = cosx + cos(x + y) y = cosy + cos(x + y) Now fx = 0 and fy = 0 implies cos(x + y) = – cosx and cos(x + y) = – cosy i.e., – cosx = – cosy or cosx = cosy or x = y Then, cos2x = – cosx = cos(π – x) Read more on Sarthaks.com - https://www.sarthaks.com/354811/determine-the-maxima-minima-of-the-function-sinx-siny-sin-x-y