The graph of a function is shown together with the tangent line at a point P.The x y-coordinate plane is given with a curve and a line.The curve enters the window at (0, 5), goes down and right becoming more steep, goes down and right becoming less steep, passes through point P at approximately (3.4, 2.3) touching the line, changes direction at (4, 2.2), goes up and right, and exits the window in the first quadrant.The line enters the window at (0, 4), goes down and right, passes through point P at approximately (3.4, 2.3) touching the curve, and exits the window at (6, 1).Find the slope of the tangent line. Estimate the derivative of f at the corresponding x-value.

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Answered: The graph of a function is shown…

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 47E

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The graph of a function is shown together with the tangent line at a point P.

The x y-coordinate plane is given with a curve and a line.

The curve enters the window at (0, 5), goes down and right becoming more steep, goes down and right becoming less steep, passes through point P at approximately (3.4, 2.3) touching the line, changes direction at (4, 2.2), goes up and right, and exits the window in the first quadrant.
The line enters the window at (0, 4), goes down and right, passes through point P at approximately (3.4, 2.3) touching the curve, and exits the window at (6, 1).

Find the slope of the tangent line.

Estimate the derivative of f at the corresponding x-value.

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