How to solve
f_xx differentiates in x twice while y rides along as a constant (and symmetrically for f_yy).
Steps
- Differentiate in the chosen variable, treating the other as constant.
- Differentiate the result in the same variable again.
- Keep the other variable's powers untouched.
Example
f(x, y) = 2x³y². Find f_xx.
- f_x = 6x²y².
- f_xx = 12xy².
Answer: 12xy^2
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