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1. Find an equation of the tangent line to the graph of x^2 + 4xy +...

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.

Solutions

Expert Solution

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.

milcah answered 2 years ago
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