00:01
In this problem we are given with the curve equation 2x square plus 5y is equal to 3xy.
00:09
We need to find the value of dy by dx.
00:14
The first derivative of y with respect to the variable x.
00:17
We need to find this using implicit differentiation.
00:21
So we need to differentiate the entire equation with respect to the variable x and then we need to solve for d .y by d x.
00:33
Let's do that.
00:34
If we differentiate 2x square with respect to x, we will get 2 times 2x, which is nothing but 4x.
00:43
Now, we need to differentiate 5y with respect to the variable x.
00:48
If we do that, we will have 5 times d .d .x.
00:55
And it is equal to the derivative of this expression.
01:01
As 3 is a constant, we can keep that as it is.
01:04
Here we have two expressions, so we need to differentiate them one by one.
01:10
So first, let's keep the term x as it is and let's differentiate y with respect to the variable x.
01:17
If we do that, we will have d -y by d -x...