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Calculus Warm-Up Fill in the blanks for #1-4. 1. 2. 3. 4. 5. Find if and

Calculus Warm-Up Fill in the blanks for #1-4. 1. 2. 3. 4. 5. Find if and Find if and If , find and If , find and. Calculus Warm-Up Fill in the blanks for #1-4. 1. 2. 3. 4. Find if and Find if and If , If. The Chain Rule.

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Calculus Warm-Up Fill in the blanks for #1-4. 1. 2. 3. 4. 5. Find if and

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  1. Calculus Warm-Up Fill in the blanks for #1-4. 1. 2. 3. 4. 5. Find if and Find if and If, find and If , find and

  2. Calculus Warm-Up Fill in the blanks for #1-4. 1. 2. 3. 4. Find if and Find if and If, If

  3. The Chain Rule We already know and The Chain Rule is just !!! Find for Let , so Bothu and y are now easy to differentiate. and And so

  4. The Chain Rule in words: The derivative of a composite function is the product of the derivatives of the outside and inside functions. The derivative of the outside function must be evaluated at the inside function. If f and g are differentiable functions, then Differentiate . Think of this as . Let

  5. Chain Rule Practice Find . 1. 2. Don’t use the quotient rule even though it would work! 3. You have to chain rule twice!!! 4. a. Find where . b. Find where .

  6. Chain Rule Practice Find . 1. 2.

  7. Chain Rule Practice Find . 3.

  8. Chain Rule Practice 4. a. Find where . b. Find where .

  9. Chain Rule Practice 4. b. Find where .

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