math

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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 -

    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 -

    which one is part a and part b.

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