document.write( "Question 1010647: Use the logarithmic differentiation to differentiate the function\r
\n" ); document.write( "\n" ); document.write( "y= (x+2)^2/(e^x √(x^2+16))
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Algebra.Com's Answer #626732 by Alan3354(69443) $\"\"$ $\"About$

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Use the logarithmic differentiation to differentiate the function\r
\n" ); document.write( "\n" ); document.write( "y= (x+2)^2/(e^x*sqrt(x^2+16))
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\n" ); document.write( " $\"y+=+%28x%2B2%29%5E2%2Ae%5E%28-x%29%2A%28x%5E2%2B16%29%5E%28-0.5%29\"$
\n" ); document.write( "Use the product rule:
\n" ); document.write( "d/dx(u*v*w) = (du/dx)*v*w + (dv/dx)*u*w + (dw/dx)*u*v
\n" ); document.write( "du/dx = 2(x+2)
\n" ); document.write( "dv/dx = $\"-e%5E%28-x%29\"$
\n" ); document.write( "dw/dx = $\"%28-1%2F2%29%2A%28x%5E2%2B16%29%5E%28-1.5%29%2A2x+=+-x%2A%28x%5E2%2B16%29%5E%28-1.5%29\"$
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\n" ); document.write( "The rest is just bookkeeping.\r
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