Asked Mar 13, 2019

related rates - find dx/dt where x+xy - y= 20. dy/dt = 5 and x = 4

check_circleExpert Solution
Step 1

x+xy - y= 20

Diferentiate both sides with resepct to t. While differentiating recall the:

  • Chain rule of differentiation and
  • famous rule of differentiation: d(xn) / dx = nxn-1
Step 2

On differentiation, 

2x + xdy/dt + ydx/dt - 2ydy/dt = 0

Step 3

Given, dy/dt = 5 and x = 4 we have to find dx/dt.

From the original equation, x2 +xy - y2 = 20; when x = 4 then

42 +4y - y2 = ...

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