00:01
Now, let's solve exercise 29.
00:03
In this exercise, we want to find the derivative of the function.
00:08
Ft equals 4 over t to a power of 4, minus 3 over t cubed, plus 2 over t.
00:22
We can rewrite this expression as 4 times t to a power of minus 4, minus 3 times 2 to a power of minus 3, and plus 2 times 2 to a power minus 1.
00:41
Rule 4 tells us that the derivative of the sum equals the sum of derivative, and the sum of the derivative of the first term, sorry, plus the derivative of the second term plus the derivative of the third term.
01:20
And now we can use rule 3.
01:25
It is the derivative of this equals the derivative of t to a power minus 4.
01:34
And now here comes the root 2...