Ep is potential energy of a mass, m ,in gravity field, g ,at height of h above a reference ground
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v equals m divided by p
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The quotient rule tells says that: If: f(x) = g(x) / h(x) Then: f'(x) = (g'(x) · h(x) - g(x) · h'(x)) / h(x)2 That derivative gives you the slope of the original curve's tangent at any given x-coordinate. For example, if: f(x) = axn / bxm then: f'(x) = (anxn-1 · bxm - axn · bmxm - 1) / b2x2m This of course simplifies considerably, due to the simplicity of the original function: = (abnxm+n-1 - abmxm+n-1) / b2x2m = (n - m)abxm+n-1 / b2x2m = (n - m)axn-m-1 / b = (n - m)(a/b)xn-m-1 Which makes perfect sense if you rearrange our initial function and take it's derivative in a simpler manner: f(x) = axn / bxm f(x) = (a/b)xn-m f'(x) = (n-m)(a/b)xn-m-1
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