Need help finding the derivative of f(x)=(e^4x)/(8x+4)

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Need help finding the derivative of f(x)=(e^4x)/(8x+4)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1442905786638:dw|
i hope that is correct so far..
i end up with the wrong answer

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Yup, that looks good so far!
Try and simplify it and show me what you get
ok. when i simplify i get |dw:1442907337629:dw|
am i supposed to expand the bottom?
or distribute the 4e^(4x) to the (8x+4)?
If the question asks you to simplify, I'm guessing to expand the bottom and cancel out whatever you can would be your best bet
But if I had written the above answer in an exam, I believe it would be good enough to secure the full marks, it really depends on what your teacher wants and how far he/she wants you to simplify it
well the question is to find the equation of the line tangent to the graph of that function at point (3,f(3)) and i know i have to take the derivative first so thats what i was doing... but you're saying that answer is good enough to continue solving the rest of the problem?
yep, because now you have to substitute and thats usually just done on the calculator, so there isn't much point in simplifying more than necessary and wasting time
ok thanks
no problem :)

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