SOLUTION: Find the equation of the line tangent to the graph of {{{(x^2)/16-(y^2)/4=1}}} at (5, 1.5).

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the equation of the line tangent to the graph of {{{(x^2)/16-(y^2)/4=1}}} at (5, 1.5).      Log On


   

Question 884143: Find the equation of the line tangent to the graph of %28x%5E2%29%2F16-%28y%5E2%29%2F4=1 at (5, 1.5).
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of the line tangent to the graph of %28x%5E2%29%2F16-%28y%5E2%29%2F4=1 at (5,1.5)
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%28x%5E2%29%2F16-%28y%5E2%29%2F4=1
Get the 1st derivative
(x/8)dx - (y/2)dy = 0
x*dx - 4y*dy = 0
dy/dx = x/(4y)
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y'(5,1.5) = 5/6
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Get the eqn of the line m = 5/6 thru (5,1.5)