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Differentiation - Power Rule and Derivatives of Algebraic Functions

Differentiation - Power Rule and Derivatives of Algebraic Functions

TGM Original Questions

Find the derivative of each of the following with respect to \(x\).

  1. \(y = 2024\)
  2. \(y = -\frac{5x^3}{x^9}\)
  3. \(y = \sqrt[5]{x^4}\)
  4. \(y = -\frac{3x^{11}}{2\sqrt{x^{11}}}\)

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Answer:(i) \(0\) (ii) \(\dfrac{30}{x^7}\) (iii) \(\dfrac{4}{5\sqrt[5]{x}}\) (iv) \(-\dfrac{33}{4}\sqrt{x^9}\)

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