   Chapter 2.6, Problem 4TE

Chapter
Section
Textbook Problem

In Exercises 1-8, (a) use the numerical derivative operation to find the derivative of f for the given value of x (to two decimal places of accuracy), (b) plot the graph of f and the tangent line on the same set of axes, and (c) find an equation of the tangent line to the graph of f at the indicated point. Use a suitable viewing window.4. f ( x ) = 1 x ; x = 4; (4, 1 2 )

(a)

To determine
The derivative of the given function, by using the numerical derivative operation.

Explanation

Given:

The given function is f(x)=1x and at x=4 the given point is (4,12) .

Calculation:

To find the derivative of the given function, follow the steps using graphing calculator.

On beginning press ON key and press keystrokes MATH8 . Next enter the function

f(x)=1x at x=4 on the given box

(b)

To determine

To sketch: The graph of the given function and plot the tangent line at (4,12) on same set of axes.

(c)

To determine
The equation of the tangent line to the graph f at point (4,12) .

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