
The plot of the function f(x,y)=4x^22*y^2 The curve corresponding to y=1 in red The tangent line in orange Slope of the tangent line is the partial derivative with respect to x The plot of the function f(x,y)=4x^22*y^2 The curve corresponding to y=1 in red The tangent line in orange Slope of the tangent line is the partial derivative with respect to x 
The plot of the function f(x,y)=4x^22*y^2 The curve corresponding to x=.5 in red The tangent line in orange Slope of the tangent line is the partial derivative with respect to y The plot of the function f(x,y)=4x^22*y^2 The curve corresponding to x=.5 in red The tangent line in orange Slope of the tangent line is the partial derivative with respect to y 