Chain Rule
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Lesson Description:
Know and be able to apply the derivative rule for the composition of functions (chain rule) including understanding the mixed Leibniz/prime notation used to express the chain rule.
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Questions answered by this video:
- What is the chain rule for taking derivatives?
- When do you use the chain rule in Calculus?
- What is the derivative of x^2?
- How can you take the derivative of (3x^2 + 2x + 1)^2 using the chain rule?
- How do you take the derivative of a composition of functions?
- If h(x) = 3x^2 + 2x + 1, and f(u) = u^2, what is the derivative of f(h(x))?
- How do you take the derivative of ((2x + 1)^2 + 2x + 1)^2?
- How do you take the derivative of (2x + 1)^2*(3x + 7)^3?
- How can you use the product rule to take the derivative of two functions multiplied together?
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Staff Review
This lesson explains the concept of the chain rule for taking the derivative of a function in Calculus. A couple of examples are shown and explained. This is an excellent place to start to learn how to use the chain rule when taking derivatives in Calculus.
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