Science:Math Exam Resources/Courses/MATH102/December 2019/Question 05 (a)/Statement

For this question, let

$f(x)=1-(1+x)^{-1}$

You may use the following facts without proving them:

• $f(x)={\frac {x}{1+x}}$
• $f(x)={\frac {1}{(1+x)^{2}}}$
• $f(x)={\frac {-2}{(1+x)^{3}}}$

(a) Give an equation of the tangent line to $y=f(x)$ at the point $\left(10,{\frac {10}{11}}\right)$.