document.write( "Question 417393: Differentiation question: y=(1+5x)^3. Find dy/dx \n" ); document.write( "

Algebra.Com's Answer #292221 by htmentor(1343) $\"\"$ $\"About$

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We differentiate this type of expression in the following way:
\n" ); document.write( "Let $\"u+=+1%2B5x\"$ , then we have $\"y+=+u%5E3\"$
\n" ); document.write( "We want to find $\"dy%2Fdx+=+%28dy%2Fdu%29%2A%28du%2Fdx%29\"$
\n" ); document.write( " $\"dy%2Fdu+=+3u%5E2\"$ and $\"du%2Fdx+=+5\"$
\n" ); document.write( "Thus $\"dy%2Fdx+=+3%281%2B5x%29%5E2%2A5+=+15%281%2B5x%29%5E2\"$ \n" ); document.write( "

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