The derivative of the given function is,[tex]F'(x)= \frac{-6}{(x+1)^3}[/tex].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;
[tex]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}[/tex]
The given function is;
[tex]\rm F(x)= \frac{3}{(x+1)^2} \\\\ F'(x)= \frac{-6}{(x+1)^3}[/tex]
Hence, the derivative of the given function is,[tex]F'(x)= \frac{-6}{(x+1)^3}[/tex].The derivative of the function F(x) is F'(x).
To learn more about the differentiation refer to;
https://brainly.com/question/14496325
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