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anonymous
 4 years ago
Find f(3) and f'(3), assuming that the tangent line to y = f(x) at a = 3 has equation
y = 6x + 8
anonymous
 4 years ago
Find f(3) and f'(3), assuming that the tangent line to y = f(x) at a = 3 has equation y = 6x + 8

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dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.0the slope of the tangent line equals the derivative at the point x=3 > f'(3) = 6 at x=3 both f(x) and the tangent line share the same point y = 6(3) +8 = 26 > f(3) = 26

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so f ' (3) would be what? 1?

campbell_st
 4 years ago
Best ResponseYou've already chosen the best response.0f(x) = 6x + 8 then f ' (x) = 6 so the gradient is a constant value.... m = 6.... find f(3) = 6 x 3 + 8 f(3) 26 f(3) = 6 x (3) + 8 f(3) = 10 so you need to find 2 lines m = 6 point (3, 26) and m = 6 point (3, 10)
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