Calculus, 2ADV C1 EO-Bank 7

Differentiate `2x(1-4x)^5` with respect to `x`. (2 marks)

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`y^{′}=2(1-4x)^4(1-24x)`

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`y=2x(1-4x)^5`

`text{Using the product and chain rules:}`

`y^{′}`	`=2 xx (1-4x)^5-40x(1-4x)^4`
	`=2(1-4x)^4(1-4x-20x)`
	`=2(1-4x)^4(1-24x)`