Determine the equation of the tangent line to the curve y = 2x²-1 at the point where x = -2

Answer 1

y' = slope = m = 4 x
where x = -2, m = 4(-2) = -8
y = -8 x + b
at x = -2, y = 2(4) - 1 = 7
so
7 = -8(-2) + b
7 = 16 + b
b = - 9
so
y = -8 x - 9

Answer 2

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