Find the equation of the tangent line to $g (x) = x^{2}$ at $x = 4$ .
Write your answer in point-slope form using integers and fractions. Simplify any fractions.
$y - ◻ = ◻ (x - ◻)$

Answer

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Answer

Use point-slope form, $y - y_{1} = m (x - x_{1})$ , with $x_{1} = 4$ , $y_{1} = 16$ , and $m = 8$ .

Steps

Step 1 ：Find $g^{'} (x)$ by taking the derivative of $g (x) = x^{2}$ .

Step 2 ：Evaluate $g^{'} (4)$ and $g (4)$ .

Step 3 ：Use point-slope form, $y - y_{1} = m (x - x_{1})$ , with $x_{1} = 4$ , $y_{1} = 16$ , and $m = 8$ .