Mathematics Subject>Basic Concept of Derivative
By. Mr. Teacher
Mathematic Lessons
Many people who know about the normal or derivative called differensial.
But do you know about the actual concept of the derivative itself?
So here, first we try to bring a well function in a manner directly (there is direct?)
Tuh direct way, the way that we have in mind before, so the problem is an example:
Specify differensial or derivative of F (x) = 3 x 2
Answer:
F ‘(x) = 6x (Surely that’s easy to do this)
Well, how .. 6 x that results from coming?
So, like ..
Is a derivative of how the limit (a limit that is what?) The near zero
The formula here:
Well, now we try not using the correct buktikan above formula can be found the same results as derived (differensial) that we make is earlier.
We try with the same problem:
F (x) = 3 x 2
lim f (x + h) – f (x)
h ? 0 h
Now F (x) with the same 3 x 2, then F (x + h) = 3 (x + h) 2
So X is replaced with X + H
lim 3 (x + h) 2 – 3 x2
h ? 0 h
Well, until here:
3 (x + h) 2 is equal to 3 (x2 + 2 xh + H2)
lim 3 (x2 + x 2 h + H2) – 3 x2
h ? 0 h
Up here, its number 3 can be used to remove
3 lim (x2 + x 2 h + H2) – x2
h ? 0 h
Well, next we can get rid of each other is x2?
Try to see in front of the x2 and the x2 -
Lim 3 x 2 h + H2
h ? 0 h
After that, we can scratch the above tuh h under the same
Become like this?
3 lim x 2 + h
h ? 0
After that we go aja limita value of h approaching zero (h ? 0)
Happens like this:
3 + 2 x (0)
The end result is 6x
Well, so all care about how the concept of derivative is a limit of approaching zero ..
Thanks a lot I stop by to read,
I have a confused please help to me.
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