00:01
In this question, we are given y to be a function of x.
00:05
We want to differentiate the function.
00:09
Now, you can see that in the denominator, we have two terms here.
00:13
It's quite difficult to do it.
00:15
And there's no way to factorize.
00:18
So the only way i can see this here is to use the quotient rule.
00:23
For quotient rule, we square the denominator, repeat the original denominator at the top.
00:31
Now, differentiate the top.
00:35
Now, 8 is multiplied to the variable, so 8 is kept aside.
00:40
Now, differentiating e to the power 7x.
00:44
There's an exponential function in x.
00:46
When we differentiate that, it will just be itself.
00:49
And then, we will differentiate the power here.
00:54
7 is multiplied to the x, so 7 is kept aside.
00:57
And x, when differentiated with respect to itself, it will just be 1...