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Math Help - Calculus - Product Rule

  1. #1
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    Calculus - Product Rule

    I'm stuck on this problem

    square root of x times sin(x)

    How do you differentiate this function using the product rule?
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  2. #2
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    Quote Originally Posted by PMoNEY23 View Post
    I'm stuck on this problem

    square root of x times sin(x)

    How do you differentiate this function using the product rule?
    Do you know the formula for the product rule? Do you know how to differentiate \sqrt{x} = x^{1/2}? Do you know how to differentiate \sin x? Do you know how to simplify the resulting expression for the derivative?

    Show your working and state where you get stuck.
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  3. #3
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    yes i know the formula and this is where im stuck at:

    edited:
    (x^1/2)[cos(x)]+[1/2x^1/2](sin(x))
    Last edited by PMoNEY23; October 8th 2008 at 01:11 AM. Reason: error on cos(x)
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  4. #4
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    Quote Originally Posted by PMoNEY23 View Post
    yes i know the formula and this is where im stuck at:

    edited:
    (x^1/2)[cos(x)]+[1/2x^1/2](sin(x))
    \sqrt{x} \cos x + \frac{\sin x}{2 \sqrt{x}} = \frac{2x \cos x}{2 \sqrt{x}} + \frac{\sin x}{2 \sqrt{x}} = \frac{2x \cos x + \sin x}{2 \sqrt{x}} .


    Note: If you show your work and state where you're stuck it can save people wasting time posting things that you already know how to do.
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