Given: e^(7z)=xyz The task is to compute the partial derivatives dz/dx and dz/dy using implicit differentiation. My solution is now as follows: (dz/dx)7e^(7z)=yz+(dz/dx)xy And so, (dz/dx)(7e^(7z)−xy)=yz Therefore correct answer is, dzdx=(yz)/((7e^(7z)−xy))

onetreehillyg

onetreehillyg

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2022-08-26

Given:
e 7 z = x y z
The task is to compute the partial derivatives dz/dx and dz/dy using implicit differentiation. My solution is now as follows:
( d z / d x ) 7 e 7 z = y z + ( d z / d x ) x y
And so,
( d z / d x ) ( 7 e 7 z x y ) = y z
Therefore correct answer is,
d z d x = y z ( 7 e 7 z x y )

Answer & Explanation

etapi9a

etapi9a

Beginner2022-08-27Added 12 answers

Since there are three variables so it will be differentiated by product rule i.e. d z d x 7 e 7 z = y z + d y d x x z + d z d x x y

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