If f (2) = 3 and f ’ (2) = –1, find an equation of the tangent line when x = 2.

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23-09-2017
Mathematics

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If f (2) = 3 and f ’ (2) = –1, find an equation of the tangent line when x = 2.

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sarahmwengerowqxch sarahmwengerowqxch · Answer 1 · 2017-09-23T20:53:50+02:00

sarahmwengerowqxch sarahmwengerowqxch

23-09-2017

So if the point you have is (2,3) and the slope (found by the derivative at x=2) is -1, then you plug into the formula y-y1 = m (x-x1). So plugged in, that would be y-3=-1(x-2). That simplified equals y=-x+5.

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