Question
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....
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....
Answers
Reiny
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)
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)
Jack
which one is part a and part b.