Functions of several variables

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muso07
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If I have [tex]V(t,x,y,z)=(x/(x^{2}+y^{2}+z^{2}))sin(t+\pi/4)[/tex], does [tex]dV/dt=(x/(x^{2}+y^{2}+z^{2}))cos(t+\pi/4)[/tex]? I'm not too crash hot with functions of several variables...
 
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That is correct. (Unless x,y,z, depend on t as well)