: MathCad.
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I , y(x)=f(x) (x0,y0).
1 0 0 .
2 ().
3 () 
, . (): = 
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4.
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6. .
7 .
II .
1 , .
2 .
3 , .
4 View Derivative As ( ), Partial Derivative ( ).
5 // .
6 , .
7 .
6.1 6
| f(x) | (0,0) | f(x,,z) | (0,0,z0) | |||||
| 2 -3+5 | (2,3) | 2 -33y-4y2+2y-z3 | (0,1,2) | |||||
| 2 +2+6 | (-1.1) | z2ex*x+y*y | (0,0,0) | |||||
| 3-32 | (3,1) | xcos(y)+yz4 | (1,0,0) | |||||
| 0.5-sin(x) | (0, p/3) | z ln (x2-y2) | (3,1,3) | |||||
| (x-5)ex | (4,0) | zsin(xy)+z2 | (1,1,1) | |||||
| 1-(x-2)4/5 | (2,1) | 2 +2y2-3xy-4z2 | (0,0,0) | |||||
| x5+5x-6 | (0,-1) | zx× ln (y)+xy2z | (0,2,1) | |||||
| (x3+4)/x2 | (2,3) | y(x-zcos(x)) | (0,0,0) | |||||
| (0,1) | sin(x)(cos(z)+cos(y)) | (1,0,0) | |||||
| sin2(x) | (0.5,0.5) | x4yz+sin(y) | (2,1,0) | |||||
| x2-0.5x4 | (0,0) | (x-y2)*(z3-x) | (1,1,1) | |||||
| 3-32 | (0, p/3) | 2 -33y-4y2+2y-z3 | (0,1,2) | |||||
| 0.5-sin(x) | (4,0) | z2ex*x+y*y | (0,0,0) | |||||
| (x-5)ex | (2,1) | xcos(y)+yz4 | (1,1,1) | |||||
| 1-(x-2)4/5 | (2,1) | z ln (x2-y2) | (3,1,3) | |||||
| x5+5x-6 | (0,-1) | zsin(xy)+z2 | (1,1,1) | |||||
| 0.5-sin(x) | (0, p/3) | 2 +2y2-3xy-4z2 | (0,0,0) | |||||
| (x-5)ex | (4,0) | zx× ln (y)+xy2z | (0,2,1) | |||||
. 6.1
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| 1-(x-2)4/5 | (2,1) | y(x-zcos(x)) | (0,0,0) | |||||
| x5+5x-6 | (0,-1) | sin(x)(cos(z)+cos(y)) | (1,0,0) | |||||
| (x3+4)/x2 | (2,3) | zx× ln (y)+xy2z | (0,2,1) | |||||
| 3-32 | (3,1) | y(x-zcos(x)) | (0,0,0) | |||||
| 0.5-sin(x) | (0, p/3) | sin(x)(cos(z)+cos(y)) | (1,0,0) | |||||
| (x-5)ex | (4,0) | x4yz+sin(y) | (2,1,0) | |||||
| 1-(x-2)4/5 | (2,1) | (x-y2)*(z3-x) | (1,1,1) | |||||
| x5+5x-6 | (0,-1) | 2 -33y-4y2+2y-z3 | (0,1,2) | |||||
| (x3+4)/x2 | (2,3) | z2ex*x+y*y | (0,0,0) | |||||
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| (0,1) | xcos(y)+yz4 | (1,0,0) | |||||
| sin2(x) | (0.5,0.5) | z ln (x2-y2) | (3,1,3) | |||||
| x2-0.5x4 | (0,0) | zsin(xy)+z2 | (1,1,1) | |||||
I , y(x)=4 -33+42-5+1 (0,1).
1 0 0 : 0:=0, 0:=1.
2 ():= 4 -33+42-5+1.
3 () , . (): = .
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3 , .
4 View Derivative As ( ), Partial Derivative ( ) (.25):
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5 // .
6 , :=1, y:=1, z:=1.
7 .
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25
1 MathCad?
2 MathCad?
3 ?
4 ?
