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.

Answer

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Answer

\(y-(-27)=27(x+3)\)

Steps

Step 1 :\(g'(x)=3x^{2}\)

Step 2 :\(g'(-3)=27\)

Step 3 :\(y-(-27)=27(x+3)\)

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