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Calculus, 2ADV C1 SM-Bank 25

Let  `g(x) = (2-x^3)^3`.

Evaluate  `g^{′}(-1)`.   (2 marks)

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`-81`

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`text(Using Chain Rule:)`

`g^{′}(x)` `= 3 (2-x^3)^2 (-3x^2)`
  `= -9x^2 (2-x^3)^2`
`:. g^{′}(1)` `= -9 (–1)^2 [2-(–1)^3]^2`
  `= -81`

Filed Under: Standard / 1st Principles, Standard Differentiation (Adv-2027), Standard Differentiation (Y11) Tagged With: Band 4, smc-1069-20-Chain Rule, smc-6436-20-Chain Rule

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