Explanation Given information: Function is- f ( x ) = − x 2 Calculation: f ( x ) = − x 2 f ′ ( x ) = − 2 x Now to find points at those tangent lines can be draw, put- f ′ ( x ) = 0 − 2<

Calculus

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Question

Chapter 3, Problem 55SP

To determine

To find the points on the graph of function such that the tangent line at those point passing through (0 , 9) .

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Chapter 3, Problem 54SP

Chapter 3, Problem 56SP

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Chapter 3 Solutions

Calculus

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To find the points on the graph of function such that the tangent line at those point passing through ( 0 , 9 ) .

Solution Summary: The author analyzes how the graph of function shows that the tangent line at (0,9) does not pass through the point.

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To find the points on the graph of function such that the tangent line at those point passing through (0 , 9) .

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Chapter 3 Solutions