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Computing Derivatives

Computing Derivatives

Power Functions Examples

Example 1

There's a skill needed for integrals (we'll explain integrals later) that we'll consider now: thinking backwards. Instead of taking a function and figuring out its derivative, think about looking at a derivative and figuring out what sort of function it came from. Try this out when looking over solutions to derivatives.

If f ' (x) = 5x4, what could the original function f(x) be?