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Please solve this using chain rule

Please solve this using chain rule-example-1

1 Answer

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y=-4(x^2+x+1)^(10)\implies \cfrac{d}{dx}[-4(x^2+x+1)^(10)]\implies -4\cfrac{d}{dx}[(x^2+x+1)^(10)] \\\\\\ -4\stackrel{ \textit{chain rule} }{[10(x^2+x+1)^9\cdot (2x+1)]}\implies -(80x+40)(x^2+x+1)^9

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