Homework Help: math

Posted by Diana on Monday, June 21, 2010 at 10:39pm.

1. Consider the following equation.

xy + 7x + 5y = –8

(a) Differentiate both sides with respect to x to complete the following.

( blank )y ' + y + blank =0

(b)Solve for y ' in terms of x and y.

(c) Calculate dy/dx at the point (4,-4).

Can anyone help me on this questions I'm struggling so badly....

math - Reiny, Monday, June 21, 2010 at 11:14pm
for xy + 7x + 5y = –8
use the product rule for the xy term

x(dy/dx) + y + 7 5dy/dx = 0
dy/dx(x+5) = -y-7
dy/dx = -(y+7)/(x+5)
sub in the point (4,-4)
math - Jack, Tuesday, June 22, 2010 at 3:49pm
which one is part a and part b.

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