Let a function [tex]v[/tex] in one variable, say [tex]u[/tex](adsbygoogle = window.adsbygoogle || []).push({});

[tex]u[/tex] is a function also, but in two variables, say [tex]x[/tex] & [tex]y[/tex]

for the first derivative of [tex]v[/tex], i did the following:

[tex]\frac{\partial v}{\partial x} = \frac{d v}{d u} . \frac{\partial u}{\partial x}[/tex]

And the resutlt is:

[tex]\frac{\partial v}{\partial x} = cos(u) . u_x[/tex]

Note: [tex]u_x[/tex] is so hard to get, may be impossible without computer.

But, if i want the second derivative of [tex]v[/tex], How to ?

[tex]\frac{\partial^2 v}{\partial x^2} = ?[/tex]

i think that the way for getting it is Differentiating the result, means differentiating: [tex]cos(u) . u_x[/tex]

But how to also ?

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# How to get the second derivative of this function ?

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