F(x) / G(x)

a) f(x) = (x² -25+ 1)/(x - 2) Find also the equation of a tangent line to the graph of

this (and only this) function at the point x₁ = 1.

For verification, visualize your solutions with the online

https://www.desmos.com/calculator (generate the graph

off(x)andthe equation of a tangent line in the same area).

Use the space on the next pg.

Solution.

d F'(x)*G(x) - G'(x)*F(x)

f'(x) = ---- [F(x)/G(x)] = --------------------------------

dx [G(x)]²

// Apply the distributive property: A(B + C) = AB + AC;

//if A =-1then-1(B- C) =-(B- C) =-B+ C