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    Use the Leibniz's theorem to determine the nth derivative of y = x^4 y^3x and thus y^6
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    (Original post by Sam_252)
    ...
    As far as I recall, for a function f = uv, where u and v are functions of x, the n^{\text{th}} derivative of f is given by:

    f^{(n)} (x) = \displaystyle \sum_{r=0}^{n} \binom{n}{r} u^{(n-r)} (x) v^{(r)} (x)

    You're parentheses aren't clear so I can't help you out with your specific problem.
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    (Original post by Khallil)
    As far as I recall, for a function f = uv, where u and v are functions of x, the n^{\text{th}} derivative of f is given by:

    f^{(n)} (x) = \displaystyle \sum_{r=0}^{n} \binom{n}{r} u^{(n-r)} (x) v^{(r)} (x)

    You're parentheses aren't clear so I can't help you out with your specific problem.
    The rate of cooling of a small tank of hot water can be assumed to be proportional to its temperature difference with its environment. Write an expression to model the process and solve it using the series method. Discuss your result briefly (a single paragraph).
 
 
 
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