It's very easy to calculate the slope of a line, so we have to coordinate points.
With the help of which we can calculate the slope of a linear line.
Wayne, over here we are talking about calculating slope of changing Vangent is something that passes
through a single point.
So we got to calculate slope of change and passing through this random CO.
And changing that is the goal at a single point.
And just imagine if there are so many tangents across the table and we can draw, you know, many tangents
like this.
And tangent is a line passing through, a single point in the go for a single point.
How can we calculate the slope?
How is it possible?
Because to calculate the slope, we need at least two coordinate points.
And the formula for slope is why do minus Y even divide by X two, minus X one?
It's nothing but rise over.
Let me take a simple example, I have a second lane passing through two points, Enerco point A and
point B.
Now let's say the Y coordinate is the function of X, so the coordinates of it is X comma affix and
coordinates of B is X plus each comma F of X plus each.
So according to the slope formulae, the answer is F of explosives, minus F of X divided by it.
Now let's come back to our previous question of how to calculate slope for change.
The answer lies in derivative.
In this case, the slope of a second line passing through two points.
Enerco is F of explicit, minus F of X divided by H.
If I make this line a Tenjin a tangent line from a second line, then it tends to zero and if I apply
limit formally to it, I get the slope for the tangent.
Bingo, I got the answer.
And this is the definition of derivative.
Let's take a simple example of the derivative, let's say effects is equal to three X squared plus 12.
And if I want to calculate the derivative of effects based on this limits formulae, the answer is six
X.
Here are some simple rules to calculate derivative of the function.
If I take the example of a power law by the X of Exodus to N is equal to an exodus to end minus one.
If I take the product rule DBI because of U.
V is equal to you, multiply it by divi by the X plus V multiplied by diabetic's.
What does the quotient rule state DBI the ex of you by V is equal to V, multiplied by you by the X
minus you multiplied by divi by the X divided by V Square.
Here are some more equations of differentiation, some more differentiation rules.
DBI, because of a constant C is equal to zero.
So if I take B by the X of one, it's equal to zero.
Divided X of two is equal to zero because these are all constants.
If I take this by the x of x rays to win, it's equal to in x rays two and minus one where N is the
real number.
Similarly, DBI, because it is two, X is equal to it is to X and B by the X of natural log of X is
equal to one by X for X greater than zero.
And debilitates of signing's is equal to Gothics by the sex, of course, sex is equal to minus psionics.