Temperature along a metal rod is given by (degrees Celsius)

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Temperature along a metal rod is given by

T(x)=5x^{2}+20

(degrees Celsius), where

x

is the distance in meters from the left end. A sensor moves so that

x(t)=\sqrt{t+1}

after

t

seconds. Calculate

\dfrac{dT}{dt}

t=3\text{ s}

and include appropriate units.