Engineering Mathematics - Total derivatives, chain rule and derivative of implicit functions

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Total Derivative i n i i i n i i i i dx x u du dt dx x u dt du dt du * = = = = = * = = = = = = = = 1 1 n 3 2 1 n n 2 2 1 1 i i y x n 3 2 1 as dt' ' g eliminatin by form al differenti in written be can (1) Equation (B) (1) ........ : by given is derivative Total OR t coefficien al differenti total the And (t)] x (t),..., x (t), x (t), f[x u indirectly So ] (t) x x (t)... x x (t), x x [ ....n 0,1,2,3,4. i where (t) x x Here . f & f s derivative partial continuous has u and ) x ...., x , x , f(x u (A)

Transcript of Engineering Mathematics - Total derivatives, chain rule and derivative of implicit functions

Page 1: Engineering Mathematics - Total derivatives, chain rule and derivative of implicit functions

Total Derivative

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Page 2: Engineering Mathematics - Total derivatives, chain rule and derivative of implicit functions

Total Derivative

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Page 3: Engineering Mathematics - Total derivatives, chain rule and derivative of implicit functions

Total Derivative

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Page 4: Engineering Mathematics - Total derivatives, chain rule and derivative of implicit functions

The Chain Rule

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Page 5: Engineering Mathematics - Total derivatives, chain rule and derivative of implicit functions

The Chain Rule

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Page 6: Engineering Mathematics - Total derivatives, chain rule and derivative of implicit functions

Derivative Of Implicit Functions

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Page 7: Engineering Mathematics - Total derivatives, chain rule and derivative of implicit functions

Derivative Of Implicit Functions

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