document.write( "Question 223354: What is the derivative of a + 15 over the square root of a? \n" ); document.write( "
Algebra.Com's Answer #167040 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! What is the derivative of a + 15 over the square root of a? \n" ); document.write( "---------------- \n" ); document.write( "f(a) = (a+15)/a \n" ); document.write( "--- \n" ); document.write( "Treating it as a quotient you get: \n" ); document.write( "f'(a) = [a(1)-(a+15)(1)]/a^2 = -15/a^2 \n" ); document.write( "---- \n" ); document.write( "Changing the form you could write: \n" ); document.write( "f(a) = 1+(15/a) = 1+15*a^-1 \n" ); document.write( "Then f'(a) = -15*a^-2 = -15/a^2 \n" ); document.write( "------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |