Posts tagged growth constant
Solving half-life problems with exponential decay
Solving half-life problems with exponential decay

Growth and decay problems are another common application of derivatives. We actually don’t need to use derivatives in order to solve these problems, but derivatives are used to build the basic growth and decay formulas, which is why we study these applications in this part of calculus.

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Exponential equations to model population growth
Exponential equations to model population growth

The population of a species that grows exponentially over time can be modeled by P(t)=Pe^(kt), where P(t) is the population after time t, P is the original population when t=0, and k is the growth constant.

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