Now before we start directly to Calculus and do some differentiation and integration, 1
The first important concept any learner should know is functions. 2
This is one of the very important concept. 3
A Function is something, which has some relationship between input and an output. To give you an example 4
for a function. 5
Let's say we are having the function which converts the given input value in Celsius to the corresponding 6
value in Fahrenheit. 7
The function looks something like this F is equal to one point eight C plus 32 what this function will 8
do is for every value we input to this function in Celsius figure at its respective Value In Fahrenheit 9
that's the core concept of a function that is relationship between input and output. 10
Now the next question is how do we do not a function. 11
We need to know this because if we remember from high school we have denoted the function in various 12
ways depending on the application or the mathematical operation which we were performing. 13
This kind of confusion especially happens in calculus to solve this confusion. 14
We need to do a lot of groundwork to get a real confidence in it but for our learning. 15
I'll give you some tips which you can follow. 16
Let's take an example. 17
If all fakes is equal to two x squared plus four this is the kind of example which we see most of the 18
time. 19
I know this may sound silly but we should remember here that that dumb if X means it is a function of 20
x and it is not if multiplied if it takes this we can figure it out from our high school knowledge but 21
sometimes it would become unclear. 22
When you come across a function like this. 23
If we see this function we can give a guess that we see that done with D and it is some function of 24
x. 25
But what about hate here. 26
Is it some kind of a function or is it a variable labeled with explanatory to decide on that. 27
We need more information about this function to decide whether this is just another function of x minus 28
C or is it just a multiplication with variable. 29
So in yourself learning process what I suggest to you is if you ever ever feel like lost while seeing 30
the function. 31
Don't lose hope. 32
Just give a second guess and try looking at a different perspective. 33
That is the only key for learning a lot less because even with studying the old list for many years 34
we also do come across this question every time that keys don't hesitate just give a second guess. 35
Now with that being said I will now introduce to the dumb calculus that calculus is nothing but this 36
study of how these functions change as points in domain are the input variable stint that means calculus 37
is a tool that describe the relationship between input and output. 38
Let's look more in the next video.