Section 12.3 - Question 6 \(Evaluate fx (x, y) and fy (x, y)\) at the indicated point.
\(f(x,y)=x^3 −3x + y^2 −6y\) at (−1,3)
\[\frac {df}{dx} = 3x^2 - 3 \] \[ f_x (-1,3) = 3(-1)^2 - 3 = 0\] \[\frac {df}{dy} = 2y - 6 \] \[f_y (-1,3) = 2(3) - 6 = 0 \]
Porblem - 9 find \(f_x, f_y, f_{xx}, f_{yy}, f_{xy}\) and \(f_{yx}\)
\(f(x,y)=x^2y+3x^2+4y−5\)
\(f_x=2xy+6x\)
\(f_y=x2+4\)
\(f_{xx}=2y+6\)
\(f_{yy}=0\)
\(f_{xy}=2x\)
\(f_{yx}=2x\)
From this course i have learned how to apply maths in different fields of analaytics. Thanks to prof. Larry for explaining this with various real world examples .