Math, asked by manobendra21031956, 5 hours ago

differentiate = x^4/(x+1)^2

Answers

Answered by sadafsiddqui
0

given,

\frac{x^4}{\left(x+1\right)^2}\\\frac{d}{dx}\left(\frac{x^4}{\left(x+1\right)^2}\right)\\=\frac{2x^3\left(x+2\right)}{\left(x+1\right)^3}\\\mathrm{Apply\:the\:Quotient\:Rule}\\=\frac{\frac{d}{dx}\left(x^4\right)\left(x+1\right)^2-\frac{d}{dx}\left(\left(x+1\right)^2\right)x^4}{\left(\left(x+1\right)^2\right)^2}\\=\frac{4x^3\left(x+1\right)^2-2\left(x+1\right)x^4}{\left(\left(x+1\right)^2\right)^2}\\=\frac{2x^3\left(x+2\right)}{\left(x+1\right)^3}

Answered by nainatiwari870
0

Answer:

2x^3+(x+2)/(X+1)^3

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