Find the equation of the tangent line to the graph of the function f(x)=(x2+8)(x−2) at the point (1,−9).

Answer 1

1) Find the first derivative of f(x). 2) Plug x value of the indicated point into f '(x) to find the slope at x. 3) Plug x value into f(x) to find the y coordinate of the tangent point. 4) Combine the slope from step 2 and point from step 3 using the point-slope formula to find the equation for the tangent line.

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Answer 2

Use either the Product Rule or expand, simplify and apply Power Rule.