- $\rhd$ Chain rule introduction (5:06) Differentiate: $h(x) =\sin^2(x)$.
- * Practice: Chain rule. (6 problems with a guiding text)
- $\rhd$ Identifying composite functions (8:12) Find $f(g(x))$ when $f(x) =1+x$ and $g(x) = \cos(x)$. Next, identify $g(x) = \cos(\sin(x)+1)$ as the composition of functions. What about $f(x) =\sin(x)\cos(x)$? Is it a composition of functions?
- * Practice: Identify composite of functions. (4 problems)
- $\rhd$ Derivative of $\cos^3(x)$ using the chain rule. (9:16)
- $\rhd$ Derivative of $\sqrt{3x^2-x}$ using the chain rule. (5:30)
- * Practice: Chain rule intro. (4 problems)
- $\rhd$ Chain rule with table (2:26) For $F(x)=f(g(x))$, find $F'(4)$ given the values of $f(x)$, $g(x)$, $f'(x)$ and $g'(x)$ when $x=-2$ and $4$.
- * Practice: Chain rule with tables. (4 problems)
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