Differentiate (x⁴+2x+1)⁴

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asked Sep 16, 2023 5.5k views

10 votes

Differentiate (x⁴+2x+1)⁴

Mathematics
high-school

Rikka asked

by Rikka

7.8k points

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1 Answer

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$~~~~(d)/(dx) (x^4 +2x +1)^4\\\\\\=4(x^4 +2 x +1)^(4-1) \cdot (d)/(dx) (x^4 +2x +1)\\\\\\=4(x^4 +2x +1)^3 \left( 4x^3 + 2 +0\right)\\\\\\=4(x^4 +2x +1)^3 (4x^3 +2)\\\\\\=4 \cdot 2(x^4 +2x +1)^3(2x^3 +1)\\\\\\=8(x^4 +2x +1)^3(2x^3 +1)$

Cyberdelphos answered Sep 20, 2023

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