Problem
Find the equation of the tangent line to \( g(x)=x^{3} \) at \( x=-3 \). Write your answer in point-slope form using integers and fractions. Simplify any fractions.
Solution
Step 1 ：\(g'(x)=3x^{2}\)
Step 2 ：\(g'(-3)=27\)
Step 3 ：\(y-(-27)=27(x+3)\)
