if f(2)=3 and f'(2)=5 find the equation of the tangent line and the normal line to the graph of y=f(x)

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21-11-2016
Mathematics

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if f(2)=3 and f'(2)=5 find the equation of the tangent line and the normal line to the graph of y=f(x)

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Edufirst Edufirst · Answer 1 · 2016-12-05T01:53:43+01:00

Edufirst Edufirst

05-12-2016

1) tangent line: slope = f '(2) = 5, point (2,3)

y - 3 = 5(x-2)
y = 5x - 10 + 3
y = 5x - 7

2) normal line: slope = - 1/ f '(2) = - 1/5, point (2,3)

y - 3 = [-1/5](x - 2)

y = - x/5 + 2/5 + 3

y = - x/5 + 17/5

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