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Partial Derivative
Suppose a function $f$ has multiple inputs (ignore the output for now). How can you figure out the impact of one of the parameters on the output? This is where a partial derivative comes into play. You consider all other inputs other than the one that you are taking the derivative with as constant.
- The input to a partial derivative operator is a multi-variate function
- The output of a partial derivative operation is a function with the same domain and range as the original function