00:01
In this question, we are asked to find the derivative of the given function.
00:04
But first, it's a good idea to simplify the function itself.
00:08
And to do that, we need to bring the expression in the denominator to the common denominator.
00:14
So to do that, we need to multiply z by...
00:19
So we need to rewrite the denominator as z squared over z plus b over z.
00:31
And then we can rewrite that as z divided by z squared plus b over z.
00:40
Now we need to divide, imagine that the expression in the numerator is z over 1.
00:51
And now we are dividing two fractions.
00:53
And to divide two fractions, we need to multiply the fraction in the numerator by the reciprocal of the fraction in the denominator.
01:06
That's z squared divided by z squared plus b.
01:10
That's still the same function right, we haven't changed anything.
01:15
We just simplify that a little bit...