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Math Help - Differentiation problem

  1. #1
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    Differentiation problem

    Hi, How do you differentiate the following equation with respect to x?

    E = 1/2mv^2 + 1/2*2kx^2 + 1/2*3k(xb-xa)^2

    ignore the b and a after the last set of x's - this is just to say the will take on different values.
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  2. #2
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    Quote Originally Posted by thermalwarrior View Post
    Hi, How do you differentiate the following equation with respect to x?

    E = 1/2mv^2 + 1/2*2kx^2 + 1/2*3k(xb-xa)^2

    ignore the b and a after the last set of x's - this is just to say the will take on different values.
    Is this what you want to differentiate?

    E = 0.5mv^2 + kx^2 + 1.5k(x(b-a))^2

    Do you understand the power rule of derivatives? If not, you should review the rule. I posted it here: http://www.mathhelpforum.com/math-he...78-post56.html
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  3. #3
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    nearly,

    should read 0.5 before kx^2, 0.5 instead of 1.5 before k and the x in the brackets should be Xb - Xa(its the difference between two parts of a spring).
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  4. #4
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    Hello,

    Does this look better ?

    E = 0.5mv^2 + 0.5kx^2 + 0.5k(x_b-x_a))^2

    Whaaa...You should really learn how to use LaTeX ^^
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  5. #5
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    nearly!!! the last 1.5 should be 0.5
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