Find the derivative of T(t)=(40t^2+160t+750)(/t^2+4t+10)

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1 Answer

40t2+160t+750=40(t2+4t+10)+350.

T(t)=40+350/(t2+4t+10).

d((t2+4t+10)-1)/dt=-(2t+4)(t2+4t+10)-2.

dT/dt=-700(t+2)/(t2+4t+10)2.

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