If f(2) = 3, and f^1(2) = 5, find an equation of the tangent line, and the normal line to the graph of y=f(x) at the point where x = 2

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ttd1oinaitlyn ttd1oinaitlyn

21-07-2016
Mathematics

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If f(2) = 3, and f^1(2) = 5, find an equation of the tangent line, and the normal line to the graph of y=f(x) at the point where x = 2

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meerkat18 meerkat18 · Answer 1 · 2016-07-22T21:45:16+02:00

meerkat18 meerkat18

22-07-2016

the equation f(x) = ax^2 + bx + c where a, b and c are constants.

f(2) = 3
f(2) = 4a + 2b + c = 3

f'(x) = 2ax + b
f'(2) = 5
f'(2) = 2a*2 + b = 5 = 4a + b -- > equation of the tangent line

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