# What does a delta mean in calculus?

Mar 5, 2018

#### Explanation:

Mainly used for "Difference between two given values", it is used a lot in derivatives.

If we have any line on a graph, its slope is $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$ This means $\text{the change in y value over the change is x value}$
which can be rewritten as $\frac{\Delta y}{\Delta x}$

Calculus stuff...

Now, more interestingly, as these difference gets closer and closer to zero, we can say that we get closer and closer to $\frac{0}{0}$

Which tells us that the difference in the values are getting really, really, small.

If you think about that, we are shrinking two points down to a point.

If we were to have a curve and have a line pass through only one point on it, then we can call that line is tangent to the curve.

Anyways, I wish you good luck in calculus!
$\text{(Don't worry if you can't understand this. It will make sense}$
$\text{over time.)}$