Posts tagged chain rule
Using chain rule and product rule together

We can tell by now that these derivative rules are very often used together. We’ve seen power rule used together with both product rule and quotient rule, and we’ve seen chain rule used with power rule. In this lesson, we want to focus on using chain rule with product rule. But these chain rule/product rule problems are going to require power rule, too.

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Using chain rule and quotient rule together

Chain rule is also often used with quotient rule. In other words, we always use the quotient rule to take the derivative of rational functions, but sometimes we’ll need to apply chain rule as well when parts of that rational function require it. Let’s look at an example of how these two derivative rules would be used together.

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Chain rule with trig functions

Let’s look at how chain rule works in combination with trigonometric functions. Keep in mind that everything we’ve learned about power rule, product rule, and quotient rule still applies.

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Finding derivatives of logs and natural logs

The derivatives of base-10 logs and natural logs follow a simple derivative formula that we can use to differentiate them. With derivatives of logarithmic functions, it’s always important to apply chain rule and multiply by the derivative of the log’s argument.

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