# The meaning of T ' ( 10 ) and also the value of T ' ( 10 ) . ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 2.6, Problem 49E
To determine

## The meaning of T'(10) and also the value of T'(10) .

Expert Solution

### Explanation of Solution

Given information:

T(t) be the temperature in (°F) in Baltimore t hours after midnight.

The table shows values of functions recorded every two hours

 t 0 2 4 6 8 10 12 14 T 68 65 63 63 65 76 85 91

Calculations:

Here T'(10) shows the slope of the tangent of the curve made by the function or rate of change of temperate with respect to time (in hours).

The slope of the tangent is given the formula,

f'(x)=limh0f(x+h)f(x)h

T'(10)=T(10)T(8)108=76652=112=5.5

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