00:01
So, here we have to use the implicit differentiation to find out the value of dy divided by dx.
00:06
So, in the first part of the question, we have to use the value of the implicit differentiation where we are given the value of equation that is 5 of x y plus 6 of x raised to the power 3 divided by 2 of y raised to the power minus 1 divided by 2 that is equals to 68 over the point 4 and 1.
00:29
So, this is the value which we are given here.
00:32
So, what we have to do is we have to differentiate this term with respect to x.
00:37
So, this from here is equals to 5 d divided by the dx of x y plus 6 d divided by the dx of x raised to the power 3 divided by 2 y raised to the power minus 1 divided by 2.
00:49
This from here is equals to constant differentiation become equals to 0.
00:53
So, this from here is equals to 5 of x dy divided by the dx plus y plus plus 6 of x raised to the power 3 divided by 2 d divided by that dx of y raise to the power minus 1 divided by 2 plus y raised to the power minus 1 divided by 2 d divided by dx of x raised to the power 3 divided by 2 that is equal to 0.
01:18
So, 5 of x dy divided by the dx plus y is equals to 6 of plus 6 of x raised to the power 3 divided by 2 minus 1 divided by 2 of y raised to the power minus 3 divided by 2 of dy divided by that dx plus y raised to the power minus 1 divided by 2 3 divided by 2 of x raised to the power 1 divided by 2 using the chain rule...