Thread: Differentiate the following

i havn't done maths in awhile and when i got back into it ive totally forgot how to do these so if anyone could help me out it will be great

so differentiate the following and simplify where appropriate

y= x^5/(3x+4)

y = lnx/x

r(t) = ln(2t square root (t + 1))

thanks

Originally Posted by helpme2009

i havn't done maths in awhile and when i got back into it ive totally forgot how to do these so if anyone could help me out it will be great

so differentiate the following and simplify where appropriate

y= x^5/(3x+4)

y = lnx/x

r(t) = ln(2t square root (t + 1))

thanks

For the first one you will need the quotient rule:

In this case and

Then we have:

The rest is just simplifying.
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The second one is similar to the first one. You can do this problem using the quotient rule.
(Note also: )

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The third one is a combination of the chain rule and the product rule or by changing it a little bit can avoid the chain rule. (I assume that you know these two rules?)