Techniques of Differentiation - Chain Rule

Techniques of Differentiation - Chain Rule

Find the derivative of each of the following,

  1. \(y = (5x^2 - x + 3)^9\)
  2. \(y = (3x^3 + x - 1)^5\)
  3. \(y = \sqrt{(5x^2 - 4x + 1)^9}\)

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Answer:(a) \(9(10x-1)(5x^2-x+3)^8\) (b) \(5(9x^2+1)(3x^3+x-1)^4\) (c) \(9(5x-2)(5x^2-4x+1)^{7/2}\)

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