The temperature (in degrees Celsius) of an object at a distance (in meters) from a…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

The temperature TT (in degrees Celsius) of an object at a distance dd (in meters) from a heat source is modeled by T(d)=1001+d2T(d)=\dfrac{100}{1+d^{2}}. The distance varies with time according to d(t)=2t+1d(t)=2t+1. What is dTdt\dfrac{dT}{dt} at t=2t=2? (a) −1000169-\dfrac{1000}{169} (b) 500169\dfrac{500}{169} (c) −500169-\dfrac{500}{169} (d) −250169-\dfrac{250}{169}

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