qnoah67
qnoah67 qnoah67
  • 13-06-2022
  • Mathematics
contestada

Differentiate (x⁴+2x+1)⁴​

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loneguy
loneguy loneguy
  • 13-06-2022

[tex]~~~~\dfrac{d}{dx} (x^4 +2x +1)^4\\\\\\=4(x^4 +2 x +1)^{4-1} \cdot \dfrac{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)[/tex]

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