document.write( "Question 262293: The derivative of (4x)^3 * (2x)^6 is\r
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document.write( "I know that I have to use the chain rule, but I get lost after that. \n" );
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Algebra.Com's Answer #193224 by drk(1908) ![]() You can put this solution on YOUR website! This is of the form X^a*X^b. we can expand these and rewrite as simply X. This will eliminate chain rule. \n" ); document.write( "(4x)^3 = 64x^3 \n" ); document.write( "(2x)^6 = 64x^6 \n" ); document.write( "--- \n" ); document.write( "(4x)^3 * (2x)^6 = (64^2)(x^9) \n" ); document.write( "y = (64^2)(x^9) \n" ); document.write( "y' = 9*64^2*x^8 \n" ); document.write( "or \n" ); document.write( "36864x^8 \n" ); document.write( " |