its a Q from chapter 2
Q) The tangent to the graph of f(x)=2/x at the point (1,2) forms a triangle with the x and y axes. find the perimeter of the triangle, in units. do not simplify your answer.

Question

its a Q from chapter 2 
Q) The tangent to the graph of f(x)=2/x at the point (1,2) forms a triangle with the x and y axes. find the perimeter of the triangle, in units. do not simplify your answer.

anonymous · Answer

dy/dx = -2/x^2 
at pt. (1,2)
dy/dx = -2

So slope of tangent = -2
Equation of tangent :   y - 2 = -2(x-1)
  which is 2x + y = 4

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Length of hypotenuse is sqrt20

So perimeter = 6+ sqrt20 units