00:01
In the question, we are given with the equation of the curve that is x cube y cube is equal to 8.
00:08
And we have tangent at point 2, 1.
00:18
So, from here we can write y cube is equal to 8 upon x cube.
00:24
So, if we will find d by dx of y cube which will be equal to d by dx of 8 upon x cube.
00:37
So, from here we will have dy square dy by dx will be equal to minus 3 multiply by 8 upon x to the power 4.
00:51
So, this will be further equal to 3y square dy by dx is equal to minus 24 upon x to the power 4.
01:07
So, from here dy by dx will be equal to minus 2 upon x to the power 4 multiplied by 3y square.
01:21
So, we know that 3x8 times is 24.
01:24
So, this will be equal to minus 8 upon x to the power 4y square.
01:31
Now, since we know that dy by dx is equal to m and it is a slope...