Jacobians || ๐’–=๐’™+๐Ÿ‘๐’š^๐Ÿโˆ’๐’›^๐Ÿ‘; ๐’—=๐Ÿ’๐’™^๐Ÿ ๐’š๐’›; ๐’˜=๐Ÿ๐’›^๐Ÿโˆ’๐’™๐’š || Partial Differentiation || Dr Prashant Patil

ะžะฟัƒะฑะปะธะบะพะฒะฐะฝะพ: 17 ะ˜ัŽะปัŒ 2026
ะฝะฐ ะบะฐะฝะฐะปะต: Dr Prashant Patil
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In this video, Jacobians of ๐‘ฑ=(๐(๐’–,๐’—,๐’˜))/(๐(๐’™,๐’š,๐’›)) if ๐’–=๐’™+๐Ÿ‘๐’š^๐Ÿโˆ’๐’›^๐Ÿ‘; ๐’—=๐Ÿ’๐’™^๐Ÿ ๐’š๐’›; ๐’˜=๐Ÿ๐’›^๐Ÿโˆ’๐’™๐’š is evaluated in detailed steps.


#DrPrashantPatil#PartialDifferentiation#22MAT11#18MAT11#Lecture34

For more videos and playlist of Engineering Mathematics go through the playlists

1)18MAT41- Complex Analysis, Probability and Statistical Methods:
1) Conformal Transformations[18MAT41-Module 02]
ย ย ย โ€ขย Conformalย Transformationsย ||ย 18MAT41ย ||ย Dr...ย ย 
2) Complex Integration[18MAT41-Module 02]
ย ย ย โ€ขย Complexย Integrationย ||ย 18MAT41ย ||ย ย Drย Pras...ย ย 
3) Probability Distributions[18MAT41-Module 03]
ย ย ย โ€ขย Probabilityย Distributions[18MAT41-Moduleย 03]ย ย 
4) Joint Probability Distribution and Sampling [18MAT41-Module 05]
ย ย ย โ€ขย Jointย Probabilityย Distributionย andย Samplin...ย ย 

2) 18MAT31- TRANSFORM CALCULUS, FOURIER SERIES AND NUMERICAL TECHNIQUES:
1) Laplace Transforms [18MAT31-Module 01]:
ย ย ย โ€ขย Laplaceย Transformsย ย 
2) Inverse Laplace Transform [18MAT31-Module 01]:
ย ย ย โ€ขย Inverseย Laplaceย Transformย ||ย Drย Prashantย P...ย ย 
3) Fourier Series | 18mat31 | Module 02 | Dr Prashant Patil
ย ย ย โ€ขย Fourierย Seriesย |ย 18mat31ย |ย Moduleย 02ย |ย Drย ...ย ย 
3) Fourier Transforms | 18mat31 | Module 03 | Dr Prashant Patil
ย ย ย โ€ขย Fourierย Transformsย |ย 18mat31ย |ย Moduleย 03ย |...ย ย 
4) Numerical Methods for ODE | 18mat31 | Module 04 & 05 | Dr Prashant Patil
ย ย ย โ€ขย Numericalย Methodsย forย ODEย |ย Moduleย 04ย &ย 05...ย ย 
5) Calculus of Variations | 18mat31 | Module 05 | Dr Prashant Patil
ย ย ย โ€ขย Calculusย ofย Variationsย |ย 18mat31ย |ย Moduleย ...ย ย 

2)18MAT21- Advanced Calculus and Numerical Techniques:

1) Vector Calculus [18MAT21-Module 01]:
ย ย ย โ€ขย Vectorย Calculusย ||ย BMATE201ย ย 
2) Ordinary Differential Equation of Higher order[18MAT21-Module 02]:
ย ย ย โ€ขย Ordinaryย Differentialย Equationย ofย Higherย o...ย ย 
3) Partial Differential Equations [18MAT21-Module 03]:
ย ย ย โ€ขย Partialย Differentialย Equationsย |ย 18matdip4...ย ย 
4) Infinite Series [18MAT21-Module 04]:
ย ย ย โ€ขย Infiniteย Seriesย [18MAT21-Moduleย 04]ย ย 

4)18MATDIP41- Additional Mathematics II:
1) Probability[18MATDIP41-Module05]
ย ย ย โ€ขย 18MATDIP41ย |ย Additionalย Mathematicsย IIย |ย P...ย ย