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posted by George A.J on Monday, January 31, 2011 at 11:22pm.

Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x) = 7 x - 2 x^2 text( at ) \(-1,-9\) m = y =

dy/dx = 7 - 4x at (-1,-9) dy/dx = m = 7 - 4(-1) = 11 plug in point -9 = 11 (-1) + b -9 = -11 + b b = 2

For the slope, calculate df/dx at x = -1. m = df/dx = 7 - 14x = 21 y = 21x + b -9 = -21 + b b = 12 y = 21x +12

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