document.write( "Question 840705: 1. Differentiate f(x) = {square-root of [(x-1) divided by (x+1)]}.
\n" ); document.write( "2. Differentiate (2y-x)^6 + x^3 = y = 3.
\n" ); document.write( "3. Evaluate the derivatives of the function at the point
\n" ); document.write( " 3x^3y^2 - 2y3 = -3; (1,2). thank you so much. \n" ); document.write( "
Algebra.Com's Answer #506403 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
* A shherical balloon is being inflated. Find the expression for the
\n" ); document.write( "instantaneuos rate of change of the volume with respect to the radius.
\n" ); document.write( "Evaluate this rate of change for the radius of 4.00m using the delta
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document.write( "The formula for the Volume is \r\n" );
document.write( "\"V+=+%284%2F3%29pi%2Ar%5E3\"\r\n" );
document.write( "But we must NOT substitute 4 for r until after we have\r\n" );
document.write( "found the derivative, since r is still a variable until \r\n" );
document.write( "we \"freeze\" r at the instant when r is 4.\r\n" );
document.write( "I am using Dx for Dx \r\n" );
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document.write( "\"%284%2F3%29pi%283r%5E2%2B3r%2A0%2B%280%29%5E2%29\" =\r\n" );
document.write( "\"%284%2F3%29pi%283r%5E2%29\" =\r\n" );
document.write( "\"%284%2Fcross%283%29%29pi%28cross%283%29r%5E2%29\" =\r\n" );
document.write( "\"4pi%2Ar%5E2\"\r\n" );
document.write( "Finally, we substitute r = 4\r\n" );
document.write( "\"4pi%2A%284%29%5E2\" =\r\n" );
document.write( "\"4pi%2A16\" =\r\n" );
document.write( "\"64%2Api\"\r\n" );
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\n" ); document.write( "find the derivative of the implicit function [3x^2
\n" ); document.write( "divided by (y^2 + 1) plus y= 3x + 1]
\n" ); document.write( "\"%283x%5E2%29%2F%28y%5E2%2B1%29%2By+=+3x%2B1\"
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document.write( "Use the quotient formula for the first expression\r\n" );
document.write( "Remember that although the derivative of x is 1, the\r\n" );
document.write( "derivative of y is NOT 1 but \"%28dy%29%2F%28dx%29\"\r\n" );
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document.write( "Multiply through by the denominator (y²+1)²\r\n" );
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document.write( "That's as far as I'm taking it.  You can multiply all that out\r\n" );
document.write( "if you like.  There is no sense in any teacher giving you a\r\n" );
document.write( "problem that comes out so messy and unwieldy as that!\r\n" );
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document.write( "Edwin
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