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Description: Given the acceleration as a function of the angle theta, a =6.5sinθ + 2.3cosθ.Find the optimal angle, so the acceleration is maximumFind the value of the maximum accelerationI have found the derivative of the function but am confusing myself on the n

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Given the acceleration as a function of the angle theta, a =6.5sinθ + 2.3cosθ. Find the optimal angle, so the acceleration is maximum Find the value of the maximum acceleration

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 7CQ

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Given the acceleration as a function of the angle theta, a =6.5sinθ + 2.3cosθ.

Find the optimal angle, so the acceleration is maximum

Find the value of the maximum acceleration

I have found the derivative of the function but am confusing myself on the next steps.

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Why do we need to find the derivative then if we only use 6.5 paired with sin and 2.3 paired with cos? When we find the derivative, do they not switch?

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