00:01
Hello everyone, the question says to find the rate of change of elevation at x is equal to 5.
00:07
What is given the f of x function is given which is 0 .07x.
00:11
Let's see the solution for it.
00:12
So you have f dash x at c will be equal to limit del x goes to 0 where f of c plus del x minus f of c divided by del x.
00:27
So here, f of x is 0 .07x as given in the question.
00:36
We need to evaluate the elevation at x is equal to 5.
00:40
And how it is given? it is given by f of x at 5, which will be equal to limit.
00:50
Del x goes to 0.
00:52
F of 5 plus del x minus f of 5 divided by del x.
01:00
So it will be f of 5 plus del x which will be equal to 0 .07 5 plus del x which will be equal to 0 .35 plus 0 .07 del x.
01:17
So from here f of 5 will be equal to 0 .07 multiply by 5 which will be equal to 0 .35.
01:26
This will be the value of f of 5.
01:28
From here f -dash x at 5 will be equal to limit del x goes to 0...