Find an equation of the tangent line to the curve y = -5 x / x + 1 at (1, -5 / 2)?

Answer 1

If y = -5x/(x+1). Then the derivative is -5/(x+1)^2. Which is the slope of the tangent line.

So, at the point x = 1, dy/dx = -5/4

Therefore, the equation of the tangent line is.... y+5/2 = -5/4(x-1)

or, y = (-5/4)x - 5/4