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Thread: Derivative

  1. #1 Derivative 
    Forum Freshman IAlexN's Avatar
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    I need some help to understand how to take the first derivative of this expression:



    I know I'm supposed to use the chain rule. And it starts like this:



    However after that I'm not sure what to do, since I have the natural logarithm and I have never taken the derivative of such an expression, I know though that the derivative of

    Any help appreciated.


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  3. #2 Re: Derivative 
    Forum Ph.D. Heinsbergrelatz's Avatar
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    Quote Originally Posted by IAlexN
    I need some help to understand how to take the first derivative of this expression:



    I know I'm supposed to use the chain rule. And it starts like this:



    However after that I'm not sure what to do, since I have the natural logarithm and I have never taken the derivative of such an expression, I know though that the derivative of

    Any help appreciated.
    ok, first of all here is the general derivative of natural logarithmic functions.

    or


    the speech marks means the first derivative of something...

    so in your question its like:



    in case you are not clear, in your case is nothing but the , and the derivative of is , which gives the answer as i gave in the post.

    im sure you know that:



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  4. #3 Re: Derivative 
    Forum Freshman IAlexN's Avatar
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    Quote Originally Posted by Heinsbergrelatz
    Quote Originally Posted by IAlexN
    I need some help to understand how to take the first derivative of this expression:



    I know I'm supposed to use the chain rule. And it starts like this:



    However after that I'm not sure what to do, since I have the natural logarithm and I have never taken the derivative of such an expression, I know though that the derivative of

    Any help appreciated.
    ok, first of all here is the general derivative of natural logarithmic functions.

    or


    the speech marks means the first derivative of something...

    so in your question its like:



    in case you are not clear, in your case is nothing but the , and the derivative of is , which gives the answer as i gave in the post.

    im sure you know that:

    Great, I will have a look at this.

    Yeah, I know that if then

    I just mad a silly little mistake :P that I didn't catch, since in the previous question I just hade completed I had a term, so that's why. But anyway thank you.
    When one person suffers from a delusion, it is called insanity. When many people suffer from a delusion it is called a Religion.

    Robert M. Pirsig
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  5. #4  
    Forum Ph.D. Heinsbergrelatz's Avatar
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    I would just like to add that, the computation of derivative is indeed important but whats more important is that you must grasp a well understanding on the whole idea behind differentiation, on why we actually need to find a derivative of a function. You should be familiar with limits, and continuity. Have you just recently started to study single variable calculus? Because i can tell you, that S.V.C. requires alot of work, well at least if you want to be really good or perhaps even master it. Normal questions they give you high school textbooks would be enough if you are not thinking of majoring mathematics, actually it should be enough, nevertheless i personally found that Single variable calculus was a really broad topic in mathematics and turned out i was right. It has many topics to be learned like for example: limits and continuity, differentiation, differential equations, series and sequences and mathematical induction, convergence and divergence of a series, integration. And each one in the list braches off to another whole list of topics. Yeah its tough,I have seen two major groups of students in my calculus classes, A) either give up mathematics after they hit their first few classes on differential equations B) think calculus is easy because they are able to follow some rudimentary examples in the book, and actually have trouble solving it themselves then start hating maths. Of course there are lots who follow well and do well, but thats just the minority of the whole grade :P

    BTW I have no intention on discouraging you, i am just sharing my experience thats all, after all calculus is my favorite topic in mathematics so far
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