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Partial Differentiation Practice

Calculus Level 2

If the function \(f\) is given by \[f(x,y,z) = xy + \tan(x^2 y) - z\cos(x) + \log(xz),\] what is the partial derivative \(\partial_z f\)?

\[y + 2xy \sec^2(x^2 y) + z\sin (x) + \frac{1}{x}\] \[-\cos(x) + \frac{1}{z}\] \[-z\cos(x) + \log(xz)\] \[-\cos(x) + \frac{x}{z}\]

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by Matt DeCross

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