Partial Differentiation Practice

Calculus Level 2

If the function ff is given by

f(x,y,z)=xy+tan(x2y)zcos(x)+log(xz),f(x,y,z) = xy + \tan\big(x^2 y\big) - z\cos(x) + \log(xz),

what is the partial derivative zf?\partial_z f?

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