00:02
Hello, in this question, x and y are functions of time and the x and y are also related by this equation.
00:14
Now, we are given that at some point of time, the rate of change of x with time is 13 and the value of x is 2 and the value of y is minus 3.
00:26
From this information, we have to figure out or we have to find out what is the rate of change of y with respect to time.
00:36
To do that, we will differentiate this both sides of this equation of this equation with respect to time.
00:45
So, we get when we differentiate the left hand side using chain rule, we get 2x dx by dt.
00:55
Us write, okay, let us continue and this thing gives us 10y dy by dt plus 4 dy by dt is equal to 0.
01:19
So, let us collect dy by dt, dy by dt times 10y plus 4 and let us bring this term to the right hand side.
01:35
It is minus 2x dx by dt...