Of the infinitely many lines that are tangent to the curve  y = −3 sin(x)  and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 45E
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Of the infinitely many lines that are tangent to the curve 

y = −3 sin(x)

 and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.

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