document.write( "Question 852169: For this function, calculate the equation of the tangent line at the given point\r
\n" ); document.write( "\n" ); document.write( "f(x) = ( x^2/19) at the point (4,(16/19))
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Algebra.Com's Answer #513196 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
The slope of the tangent is the value of the derivative at that point.
\n" ); document.write( " $\"y=x%5E2%2F19\"$
\n" ); document.write( " $\"dy%2Fdx=%282%2F19%29x\"$
\n" ); document.write( "At $\"x=4\"$ , $\"m=dy%2Fdx=%282%2F19%29%284%29=8%2F19\"$
\n" ); document.write( " $\"y=%288%2F19%29x%2Bb\"$
\n" ); document.write( "Use the point (4, 16/19) to determine $\"b\"$ .
\n" ); document.write( " $\"16%2F19=%288%2F19%294%2Bb\"$
\n" ); document.write( " $\"16%2F19=32%2F19%2Bb\"$
\n" ); document.write( " $\"b=-16%2F19\"$
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\n" ); document.write( " $\"y=%288%2F19%29x-16%2F19\"$
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