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Sunday, February 10, 2013

Maximum Minimum Problem, 3

Category: Differential Calculus, Trigonometry, Algebra

"Published in Suisun City, California, USA"

Find the maximum and minimum values of the function



Solution:

Consider the above equation



Take the derivative of the above equation with respect to x as follows



Since we want to solve for the maximum and minimum values, equate the above equation to zero as follows











To solve for the value of Sin x, use the Quadratic Formula as follows





If you choose the positive sign








Therefore,











If you choose the negative sign







Therefore,