[All Steps] Differentiate the following functions with respect to x. Use the quotient rule to differentiate y=(2x^4-3x)/(4x-1) Use the Chain rule to differentiate


Question: Differentiate the following functions with respect to x.

  1. Use the quotient rule to differentiate
    \[y=\frac{2{{x}^{4}}-3x}{4x-1}\]
  2. Use the Chain rule to differentiate
    \[y=6\cos \left( {{x}^{3}}+3 \right)\]
  3. Select an appropriate rule to differentiate
\[y=\left( 4{{x}^{2}}-{{e}^{2x}} \right)\sin \left( 3x \right)\]

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