Differentiating exponential and log functions

# Differentiating exponential and log functions -...

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Diferentiating Log and exponential Functions Luckily, diferentiating exponential Functions is actually pretty easy Let’s start with the easiest case, which also happens to be really important Which, hopeFully you agree, is pretty easy to remember

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So remember it!!
This also helps to explain why we bother with introducing the number in the frst place. It actually does make our lives easier UnFortunately, when we have other bases For our exponential Functions, things aren’t as easy (but they’re still not too bad) We still have to write the original exponential Function That is a hassle, which is why we preFer working with base

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Now that we know the rule for diFerentiating exponentials, we must be able to use it with all the other rules we know The product rule: The quotient rule:
The chain rule: This is the trickiest one here, because it is not as instinctive about what counts as the “inside” part For the function the exponent counts as the inside part I know that it doesn’t look “inside” it looks “above” (or something), but you must remember this So using the chain rule

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