00:02
So, in this question we have to find the derivative of y which is x to the power 5 ln x to the power 6.
00:15
So, this is the expression for y.
00:18
So, what we can write? we can use chain rule here since there are two functions that is algebraic and logarithmic.
00:27
So differentiating both sides using we can say chain rule.
00:36
So, here it will be dy by dx since it is asking us differentiating with respect to x.
00:43
So, here we can differentiate this function since it is in the power of 6.
00:50
So, we can differentiate x to the power 5 ln x whole to the power 6 with respect to x to the power 5 ln x multiplied with ln, multiplied with this term we can again write dx to the power 5 ln x upon differentiation of x.
01:11
So, here we can since it is product giving product so we can use again u and v rule.
01:21
So, this will be since it is in the form of x to the power n differentiation of x to the power n with respect to dx...