first derivative of f(x)=loge (sqrt ((3x+4)/(2-x)))?

2013-01-13 10:08 pm
find f'(x) of f(x)= loge( sqrt ((3x+4)/ (2-x)))

thank you

回答 (1)

2013-01-13 10:14 pm
✔ 最佳答案
f(x) = ln(√(3x + 4)/(2 - x)) = 1/2*ln(3x + 4) - ln(2 - x)

f '(x) = 3/2*1/(3x + 4) + 1/(2 - x)


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