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Calculus I · Week 338:12 · 212 min left
Definition📄 Ch. 3 p. 88

What the professor just said

The derivative is the slope of the tangent line

  • The rate of change at one exact point
  • Found as a limit of average slopes

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spaceCatch me up

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Recap📄 Ch. 3 p. 87

Since your last card

He finished limits, then defined the derivative

  • Derivative = limit of the difference quotient
  • Then worked the power rule on x³
SSave me

One term flew past and took the sentence with it.

Definition📄 Ch. 3 p. 91

Chain rule

Outside derivative times the derivative of the inside

  • For f(g(x)) that is f′(g(x)) · g′(x)
  • Use it when one function sits inside another
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Examplegeneral

Example of the card above

d/dx of sin(x²) is cos(x²) · 2x

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  • Forgetting the 2x is the usual slip

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📄 Ch. 3 p. 88

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  • Everything summarised equallyWhat you struggled with, first

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