In: Math
1. Find an equation of the tangent line to the graph of x^2 +
4xy + y^2 =13 at point (2,1), by using implicit
differentiation.
First, by differentiating the equation with respect to x(Implicitly), we will get the slope, dy/dx= m=-4/5. Then the equation of the tangent line at (2,1) is given by
y-1= (-4/5)(x-2). The step by step explanatory solution is provided below.