Abstract
In the last chapter we saw that if z is a function of x and y, i.e., if z=f(x, y), then \({z_x} = \frac{{\partial z}}{{\partial x}}\) measures the rate of increase of z with respect to x when y is held constant; and that \({z_y} = \frac{{\partial z}}{{\partial y}}\) measures the rate of increase of z with respect to y if x is held constant.
I am sorry
if you have
a green pain
gnawing your brain away.
I suppose
quite a lot of it is
gnawed away
by this time.
G. K. Chesterton: To a Modern Poet
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© 1969 J. Parry Lewis
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Lewis, J.P. (1969). Partial Differentiation. In: An Introduction to Mathematics. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-15324-4_19
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DOI: https://doi.org/10.1007/978-1-349-15324-4_19
Publisher Name: Palgrave Macmillan, London
Print ISBN: 978-0-333-01021-1
Online ISBN: 978-1-349-15324-4
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