00:01
Hi, now we have to find the derivative of fx is equal to x cube e to the power 5x minus 7.
00:08
So, f derivative x will be equal to, now we can apply product rule x cube derivative e to the power 5x minus 7 as it is plus e to the power 5x minus 7 derivative x cube as it is.
00:22
So, x cube derivative is 3x square e to the power 5x minus 7 as it is derivative of this.
00:28
So, e to the power derivative 5x minus 7 as it is into derivative of 5x minus 7 which is 5x cube.
00:36
So, this will simply come out to be equal to, now we can take x square e to the power 5x minus 7 common.
00:46
So, we are left with 3 plus 5x.
00:49
Now, there is another part also.
00:52
So, in 2 we have fx is equal to x cube minus 4x plus 6 ln x to the power 4 minus 6x square plus 9.
01:03
So, again we will apply product rule...