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 ： $g^{'} (x) = 3 x^{2}$

Step 2 ： $g^{'} (- 3) = 27$

Step 3 ： $y - (- 27) = 27 (x + 3)$

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