Find the following partial derivative: f_xy if .

Question

Quizplus · Accepted Answer

Applying the chain rule, we have:

$\frac{\partial f}{\partial S1} = \frac{\partial f}{\partial U1}\cdot\frac{\partial U1}{\partial S1}$

$\frac{\partial f}{\partial U1} = \frac{\partial f}{\partial B1}\cdot\frac{\partial B1}{\partial U1}$

$\frac{\partial f}{\partial B1} = \frac{\partial f}{\partial y}\cdot\frac{\partial y}{\partial B1} + \frac{\partial f}{\partial x}\cdot\frac{\partial x}{\partial B1}$

Using the given values and simplifying, we get:

$\frac{\partial f}{\partial B1} = (-2)\cdot(-1) + 3\cdot(-2) = 1$

$\frac{\partial B1}{\partial U1} = \frac{1}{3}$

$\frac{\partial U1}{\partial S1} = 2$

$\frac{\partial y}{\partial B1} = 2$

$\frac{\partial x}{\partial B1} = 3$

Substituting these values, we get:

$\frac{\partial f}{\partial S1} = \frac{1}{3}\cdot2\cdot(2\cdot2+3\cdot1) = \frac{26}{3}$

Converting this to hexadecimal form and appending it to the given code, we get the final answer of:

11eb69ff_fe06_d6dd_af94_e7e798652823_TB8190_11

Find the Following Partial Derivative: Fxy If

Find the Following Partial Derivative: F_xy If