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derivative of (3x+9/(2-x))

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ddx (3x+92−x )

Solution

15(2−x)²

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ddx (3x+92−x )

Apply the Quotient Rule: (fg )^′=f ′·g−g′·fg²

=ddx (3x+9)(2−x)−ddx (2−x)(3x+9)(2−x)²

ddx (3x+9)=3

ddx (2−x)=−1

=3(2−x)−(−1)(3x+9)(2−x)²

Simplify 3(2−x)−(−1)(3x+9)(2−x)² : 15(2−x)²

=15(2−x)²

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derivative of (3x+9/(2-x))

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derivative of (3x+9/(2-x))

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Solution steps

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