Question

What does a delta mean in calculus?

Answer 1

Read below.

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 `(y_2-y_1)/(x_2-x_1)` This means `"the change in y value over the change is x value"`
which can be rewritten as `(Deltay)/(Deltax)`

Calculus stuff...

Now, more interestingly, as these difference gets closer and closer to zero, we can say that we get closer and closer to `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!
`"(Don't worry if you can't understand this. It will make sense"`
`"over time.)"`