What is the derivative of the function #sqrt(3+2f(x)# ?

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Answer 1 · 2018-04-22T18:27:37

#(f'(x))/(sqrt(3 + 2f(x))#

Let #u = 3 + 2f(x)#, and #y = sqrt(u)#.

#y' = 2f'(x) * 1/(2sqrt(u)) = (2f'(x))/(2sqrt(3 + 2f(x))) = (f'(x))/(sqrt(3 + 2f(x))#

Hopefully this helps!