given the function f left parenthesis x comma space y right parenthesis space equals space space 3 to the power of x plus fraction numerator ln left parenthesis x right parenthesis over denominator y end fraction space plus 5 x to the power of 8 cos left

Given the function

f left parenthesis x comma space y right parenthesis space equals space space 3 to the power of x plus fraction numerator ln left parenthesis x right parenthesis over denominator y end fraction space plus 5 x to the power of 8 cos left parenthesis y right parenthesis space space

Find the following.

space fraction numerator partial differential f over denominator partial differential x squared end fraction equals f subscript x x end subscript

space ln left parenthesis 3 right parenthesis 3 to the power of x space minus space 1 over y 1 over x squared space plus 280 x to the power of 6 cos left parenthesis y right parenthesis space

space left parenthesis ln left parenthesis 3 right parenthesis right parenthesis squared 3 to the power of x space minus space 1 over y 1 over x squared minus 280 x to the power of 6 sin left parenthesis y right parenthesis space

NOTE: Ignore what’s above and check the files for the two questions.

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