Chapter 4 | Applications of Derivatives
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4| APPLICATIONS OF DERIVATIVES
Figure 4.1 As a rocket is being launched, at what rate should the angle of a video camera change to continue viewing the rocket? (credit: modification of work by Steve Jurvetson, Wikimedia Commons)
Chapter Outline
4.1 Related Rates 4.2 Linear Approximations and Differentials 4.3 Maxima and Minima 4.4 The Mean Value Theorem 4.5 Derivatives and the Shape of a Graph 4.6 Limits at Infinity and Asymptotes 4.7 Applied Optimization Problems
4.8 L’Hôpital’s Rule 4.9 Newton’s Method 4.10 Antiderivatives Introduction
A rocket is being launched from the ground and cameras are recording the event. A video camera is located on the ground a certain distance from the launch pad. At what rate should the angle of inclination (the angle the camera makes with the
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