document.write( "Question 1110358: if $\"y=4x%5E3\"$ find dy/dx using first principle . \n" ); document.write( "

Algebra.Com's Answer #725348 by math_helper(2461) $\"\"$ $\"About$

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$\"+dy%2Fdx+=+lim%28h-%3E0%2C++%28%284%28x%2Bh%29%5E3+-+4x%5E3%29%29%2Fh%29%29+\"$
\n" ); document.write( "= $\"+lim%28h-%3E0%2C+++%28%284x%5E3%2B12hx%5E2+%2B+12h%5E2x+%2B+4h%5E3+-+4x%5E3%29%2Fh%29+%29+\"$
\n" ); document.write( "The $\"+4x%5E3+-+4x%5E3+\"$ can be crossed out:
\n" ); document.write( "= $\"++lim%28h-%3E0%2C+++%28%2812hx%5E2+%2B+12h%5E2x+%2B+4h%5E3+%29%2Fh%29%29+++\"$ \r
\n" ); document.write( "\n" ); document.write( "Divide the numerator through by the h from the denominator:
\n" ); document.write( "= $\"++lim%28h-%3E0%2C++%2812x%5E2+%2B+12hx+%2B+4h%5E2%29%29+\"$
\n" ); document.write( "= $\"+12x%5E2+\"$ \n" ); document.write( "

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