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Math Help - Differentiation

  1. #1
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    Question Differentiation

    Can somebody help me ok this:

    [IMG]file:///C:/DOCUME%7E1/DIDI%7E1.E/LOCALS%7E1/Temp/moz-screenshot.jpg[/IMG][IMG]file:///C:/DOCUME%7E1/DIDI%7E1.E/LOCALS%7E1/Temp/moz-screenshot-1.jpg[/IMG]To find dy/dx...The questions in attachment....

    Highly appreciate if someone can help me...tq...
    Attached Thumbnails Attached Thumbnails Differentiation-1.jpg  
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  2. #2
    Super Member Deadstar's Avatar
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    Ill help you get the answer but i cant give it for every single one so ill give you some rules to use...

    If you differentiate x^n then you get nx^{n-1}. (n being a real number)

    Re-write problem 1 as x^{0.5} + x^{-\frac{1}{3}} and use the above on that...

    The chain rule will come in useful for a lot of these... Chain rule - Wikipedia, the free encyclopedia


    Use the Quotient Rule for question 4... Give it a try and see how you get on.

    Product rule: \frac{d}{dx}(u \cdot v) = u \cdot \frac{dv}{dx} + v \cdot \frac{du}{dx}.

    Ill use your question 5 as an example...

    In this case we have u = cos 2x and v = sin 3x. So we leave 'u' as it is and differentiate sin3x (using the chain rule) to get 3cos3x. Then leave 'v' as it is and differentiate cos2x to get -2sin2x. Now add these together to get cos2x \cdot 3cos3x - sin3x \cdot 2sin2x.
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  3. #3
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    Quote Originally Posted by ab.empire View Post
    Can somebody help me ok this:

    [IMG]file:///C:/DOCUME%7E1/DIDI%7E1.E/LOCALS%7E1/Temp/moz-screenshot.jpg[/IMG][IMG]file:///C:/DOCUME%7E1/DIDI%7E1.E/LOCALS%7E1/Temp/moz-screenshot-1.jpg[/IMG]To find dy/dx...The questions in attachment....

    Highly appreciate if someone can help me...tq...
    What I said here: http://www.mathhelpforum.com/math-he...integrals.html

    applies here (except replace integration with differentiation). Thread closed.
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