Question #e7772

1 Answer
Jim S
Dec 12, 2017

#f'(x)=3/(2sqrt(3x+4)#

Explanation:

If this is #sqrt(3x+4)#
then #f'(x)=1/(2sqrt(3x+4))*(3x+4)'# #=#

#3/(2sqrt(3x+4)#

If it's #sqrt(3x)+4#
then #f'(x)=1/(2sqrt(3x))*(3x)'# #=#

#3/(2sqrt(3x)#

  • because #(sqrtx)'# #=1/(2sqrtx# (you prove this by differentiating
    #(x^(1/2))'#
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