Asked by Anonymous
                lim as x approaches 0
(1-Cos^2(3x))/x^2
How do I derive the numerator??
            
        (1-Cos^2(3x))/x^2
How do I derive the numerator??
Answers
                    Answered by
            Reiny
            
    derivative of 1 - cos^2 (3x)
= derivative of 1 - (cos(3x))^2
= -2cos(3x) (3)(-sin(3x)
= -3(2sin(3x)(cos(3x))
= -3sin (6x)
    
= derivative of 1 - (cos(3x))^2
= -2cos(3x) (3)(-sin(3x)
= -3(2sin(3x)(cos(3x))
= -3sin (6x)
                    Answered by
            Anonymous
            
    Is that Chain rule you used? Or..
    
                    Answered by
            Reiny
            
    yes, that's why I wrote it as (cos(3x))^2 , so you would see it that way
    
                    Answered by
            Anonymous
            
    Is it a double chain?
    
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