document.write( "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). \n" ); document.write( "

Algebra.Com's Answer #534021 by Alan3354(69443) $\"\"$ $\"About$

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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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\n" ); document.write( " $\"%28x%5E2%29%2F16-%28y%5E2%29%2F4=1\"$
\n" ); document.write( "Get the 1st derivative
\n" ); document.write( "(x/8)dx - (y/2)dy = 0
\n" ); document.write( "x*dx - 4y*dy = 0
\n" ); document.write( "dy/dx = x/(4y)
\n" ); document.write( "-----
\n" ); document.write( "y'(5,1.5) = 5/6
\n" ); document.write( "----
\n" ); document.write( "Get the eqn of the line m = 5/6 thru (5,1.5)
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