# Equation of the Tangent Line

• Aug 10th 2010, 07:28 PM
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Equation of the Tangent Line
For the function f(x) = x^2 + 2 * (tan x) - 2
Find the equation of the tangent line to the graph of f(x) at the point (0,-2).

• Aug 10th 2010, 07:46 PM
eumyang
$f(x) = x^2 + 2 \tan x - 2$

Find f'(x). Then plug in 0 into the derivative to find f'(0), the slope of the tangent line at that point. Call this m. Then plug in your point (0, -2) and your slope (m) in to the equation of the line
$y = m(x - x_1) + y_1$
(where (x1, y1) represents your point).