Applied Mathematics · Ch 8 — Calculus
Exponential Function
Exponential Function
The exponential function is not just another formula to memorize — it is the mathematical way of describing things that grow (or decay) at a rate proportional to themselves. In nature, this shows up everywhere: from population growth to radioactive decay to compound interest. The key idea is that the rate of change of an exponential function is directly tied to the function's current value, which makes it fundamentally different from the polynomial functions you have seen so far. Understanding this self-re …
Drawn by us to help you understand the concept clearly, and verified to make sure it's accurate. For exams, practice from your NCERT textbook's own diagram.
Exponential curves: rising when the base a>1, falling when a<1; both pass …