The derivative of the function y = x(tan-'(3x))² is: y' tan (3x) 6x + (1+9x²) tan-³(3x)] tan (3x)[6x- (1+9x²) tan¬³(3x)]| 1+ 9x2 1+ 9x2 the above the above y' tan- (3x) 6x + (1+9x*) tan¬'(3x)] tan-(3x)[2x + (1+9x²) tan- (3x)] 1+ 3x y' = 1+ 9x the above the above none of them

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.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 20E
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The derivative of the function
y = x(tan-1(3x))² is:
tan-(3x)[6x + (1+9x²) tan¬'(3x)]
y'
y' =
tan(3x)[6x - (1+9x²) tan(3x)]l
1+ 9x2
1+ 9x2
the above
the above
tan-(3x)[6x + (1+9x²) tan-(3x)]
y'
y'
tan (3x) 2x + (1+9x²) tan-(3x)]
1+ 3x
1+ 9x2
the above
the above
none of them
Transcribed Image Text:The derivative of the function y = x(tan-1(3x))² is: tan-(3x)[6x + (1+9x²) tan¬'(3x)] y' y' = tan(3x)[6x - (1+9x²) tan(3x)]l 1+ 9x2 1+ 9x2 the above the above tan-(3x)[6x + (1+9x²) tan-(3x)] y' y' tan (3x) 2x + (1+9x²) tan-(3x)] 1+ 3x 1+ 9x2 the above the above none of them
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,