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  • 06-02-2022
  • Mathematics
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Differentiate the following equation

Differentiate the following equation class=

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semsee45
semsee45 semsee45
  • 06-02-2022

Answer:

[tex]\frac{dy}{dx} = \frac{4}{1-x}[/tex]

Step-by-step explanation:

    y = 3 - 4ln(1 - x)

⇒ [tex]\frac{dy}{dx} =3\frac{d}{dx} -4ln(1-x)\frac{d}{dx}[/tex]

⇒ [tex]\frac{dy}{dx} =0 -4ln(1-x)\frac{d}{dx}[/tex]

⇒ [tex]\frac{dy}{dx} =0 -4(\frac{1}{1-x})\times-1[/tex]

⇒ [tex]\frac{dy}{dx} = \frac{4}{1-x}[/tex]

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