MediumPartial derivatives

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.2 Partial Derivatives, #25 · Multivariable Calculus · Partial derivatives

… Why does this equal

Find the domain and range (all inputs and outputs) for the functions. Then compute $f_{x}, f_{y}, f_{z}, f_{t}$ .

$x^{l n t}$ Why does this equal $t^{l n x}$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.2 Partial Derivatives, #25

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