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app.eightball.ai/chat Asking Octo about ➗ Calculus II
Asking Octo about ➗ Calculus II

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app.eightball.ai/chat Asking Octo about ➗ Calculus II
Asking Octo about ➗ Calculus II

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app.eightball.ai/chat Asking Octo about ➗ Calculus II
Asking Octo about ➗ Calculus II

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Differentiate y = sin(3x²) the way Prof. Lin does, in Leibniz notation, please
Following Prof. Lin's chain-rule layout from your notes, with the outer function first, dy/dx form, and no prime notation:
Using your class's convention
  1. 1Outer: dy/du = cos(u), with u = 3x²
  2. 2Inner: du/dx = 6x
  3. 3Chain them: dy/dx = dy/du · du/dx
  4. 4dy/dx = cos(3x²) · 6x
  5. 5dy/dx = 6x·cos(3x²)
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app.eightball.ai/practice Differentiation · 3 questions
Calculus IDerivatives & integrals quiz
14:30
Question 11/3
Multiple choice1 / 3

What is the derivative of f(x) = x³?

1 / 3

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