Find an equation of the tangent line to the curve at the given point y=x+8/x, (8,9)

asked Sep 24, 2024 228k views

2 votes

Find an equation of the tangent line to the curve at the given point
y=x+8/x, (8,9)

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5 votes

Answer:

Hi,

Explanation:

$y=x+(8)/(x) \\\\y'=1-(8)/(x^2) \\slope=1-(8)/(8^2) =(7)/(8) \\\\Equation\ of\ the\ tangente: y=(7)/(8) *x+2\\$

Tarsem Singh answered Sep 29, 2024

8.4k points

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