Question

Derive this equationid="TexFormula1" title=" \frac{3}{( {x + 1)}^{2} } " alt=" \frac{3}{( {x + 1)}^{2} } " align="absmiddle" class="latex-formula">
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Answer 1

The derivative of the given function is,$F'(x)= \frac{-6}{(x+1)^3}$.The derivative of the function F(x) is F'(x).

What is differentiation?

A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation.

The derivative of the equation is found as;

$F(x)=\rm x^{-2} \\\\ F'(x) = nx^{n-1} \\\\ F(x)=\ \rm (x+1)^{-2} \\\\ F'(x) = -2(x+1)^{-3} \\\\ F'(x) =\frac{2}{(x+1)^3}$

The given function is;

$\rm F(x)= \frac{3}{(x+1)^2} \\\\ F'(x)= \frac{-6}{(x+1)^3}$

Hence, the derivative of the given function is,$F'(x)= \frac{-6}{(x+1)^3}$.The derivative of the function F(x) is F'(x).

To learn more about the differentiation refer to;

brainly.com/question/14496325

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