For a cooling sphere

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

Problem

For a cooling sphere, temperature and radius are related by

T(r)=100-2r

(°C). The radius changes with time according to

r(t)=5-0.04t

(centimeters), where

t

is measured in minutes. Determine

\dfrac{dT}{dt}

when

t=10\text{ min}

Related theory

Advanced Differentiation
Derivatives of standard functions via chain rule
Derivatives of composite functions
Continuity and Differentiability

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