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(Oxford) Solutions for B5: General Relativity and Cosmology, 2011-2016£6.24
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Title: Calculus 3
Description: Partial Derivatives Simplified f(x,y): fx(x,y) fy(x,y) fxx(x,y) fxy(x,y) fyx(x,y) fyy(x,y)
Description: Partial Derivatives Simplified f(x,y): fx(x,y) fy(x,y) fxx(x,y) fxy(x,y) fyx(x,y) fyy(x,y)
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Robert Burns
Basic Partial Derivatives
f(x, y) = 3x3y4
Coefficient: 3
X term: x3
Y term: y4
Taking the derivative with respect to x: Only focus on the derivative of the x term
x2 while leaving the y term y4 unchanged
...
fy(x, y)
= 3x3(y’)
=3x3(4y3)
= 12x3y3
Take careful note of these next problems
...
Specifically the superscripts and subscripts
...
f(x,y,z)
Title: Calculus 3
Description: Partial Derivatives Simplified f(x,y): fx(x,y) fy(x,y) fxx(x,y) fxy(x,y) fyx(x,y) fyy(x,y)
Description: Partial Derivatives Simplified f(x,y): fx(x,y) fy(x,y) fxx(x,y) fxy(x,y) fyx(x,y) fyy(x,y)