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How do you differentiate #f(x)=3sqrt(tan4x^2)# using the chain rule?

1 Answer

Jul 18, 2017

#f'(x)=(12x)/(cos^2 4x^2 sqrt(tan4x^2))#

Explanation:

#f'(x)=3/(2sqrt(tan4x^2))*(tan4x^2)'=#

#3/(2sqrt(tan4x^2))*1/(cos^2 4x^2)(4x^2)'=#

#3/(2sqrt(tan4x^2))*1/(cos^2 4x^2)*8x=#

#(12x)/(cos^2 4x^2 sqrt(tan4x^2))#

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