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need calc 3 assistance!! Find all second partial derivatives of f ?(?, ?, ?) = (?^?)(?^?)(?^?)...

need calc 3 assistance!!

Find all second partial derivatives of f

?(?, ?, ?) = (?^?)(?^?)(?^?)

pls show work and explain thank u!

Solutions

Expert Solution

Consider the given function

For evaluating th partial derivative of 'f(x,y,z) ' with respect to x we need to consider only the variable terms involving x while fixing y and z as constants. So

here both are considered as constants

In general

hence

now on finding the second partial derivative

Similarly we can find partial derivative with respect to y as follows

on finding its second order partial derivative

Now consider partial derivative with respect to z

On evaluating its second derivative

milcah answered 1 year ago

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