document.write( "Question 972113: Please help!\r
\n" ); document.write( "\n" ); document.write( "Find the equation of the tangent to the curve y=(x − 2)√(x^2+9) at x=4 \n" ); document.write( "
Algebra.Com's Answer #594485 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
Take the first derivative:
\n" ); document.write( "(x-2) (1/2)*(x2+9)^(-1/2)*2x + (x^2+9)^1/2 First * derivative of second + second*derivative of first\r
\n" ); document.write( "\n" ); document.write( "(1/2)*2x=x
\n" ); document.write( "(x-2){(x^2+9)^(-1/2)} + (x^2+9)^(1/2)\r
\n" ); document.write( "\n" ); document.write( "x=4\r
\n" ); document.write( "\n" ); document.write( "2*25(-1/2) + 25^(1/2)\r
\n" ); document.write( "\n" ); document.write( "(2/5) + 5= 27/5\r
\n" ); document.write( "\n" ); document.write( "Now find function at x=4
\n" ); document.write( "2*sqrt(25)=10\r
\n" ); document.write( "\n" ); document.write( "point slope formula with slope 27/5 and point (4,10)\r
\n" ); document.write( "\n" ); document.write( "y-10= (27/5)(x-4)
\n" ); document.write( "y-10=(27/5)*x - (108/5)
\n" ); document.write( "y= (27/5) x -58/5\r
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