Calculus
Calculus guides,
starting from what it means.
Most calculus difficulty is not the algebra, it is never having been told plainly what a derivative or an integral is. These guides start there and then do the working.
Guides
What Is a Derivative?
A derivative is the instantaneous rate of change: the slope of the curve at one point. What that means, where the power rule comes from, and three worked examples.
What Is an Integral?
An integral accumulates: it adds up infinitely many small pieces to give area under a curve or total change. Indefinite versus definite, with worked examples.
Derivative vs Integral
One measures rate, the other accumulates it. Why they are inverses, what each one gives you, and how to tell which a question wants.
What this covers
- Derivatives as instantaneous rate of change
- Integrals as accumulated area
- How the two are inverses of each other
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