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  • Differentiate each of the functions x^4+x^3+x^2+1/x w.r.t x in

Differentiate each of the functions w.r.t x in

\frac{x^{4}+x^{3}+x^{2}+1}{x}

 

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\\\text{ Let y}=\frac{x^{4}+x^{3}+x^{2}+1}{x} \\ \\ \frac{dy}{dx}=\frac{d \left( x^{3} \right) }{dx}+\frac{d \left( x^{2} \right) }{dx}+\frac{d \left( x \right) }{dx}+\frac{d \left( x^{-1} \right) }{dx} \\ \\ =3x^{2}+2x+1-\frac{1}{x^{2}} \\ \\ =\frac{3x^{4}+2x^{3}+x^{2}-1}{x^{2}} \\ \\

 

 

 

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