I'd really appreciate it if somebody could show me the working for this question. Try as I might I can't seem to get the correct answer to come up. The question is as follows:
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By writing the function y = ((2x - 5) / (3x + 2))^0.5 in logarithmic form, show that dy/dx = 19/(2((2x-5)^0.5)((3x + 2)^1.5)
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I've used ^ to mean 'to the power of'.
I've spent a while on this question and I'd really like to understand how it's done, it's annoying me! Please help
Thanks for the reply, however the top part of the fraction is also square rooted, i.e (2x - 5)^0.5 / (3x + 2)^0.5
I do get to:
0.5 ln (2x - 5) - 0.5 ln (3x + 2)
Even though I have tried to find the derivative with the rule, I can not get to the answer so I would be very grateful if you could outline every step from 0.5 ln (2x - 5) - 0.5 ln (3x + 2) all the way.