Solve w=f_d f_b - ScanMath

Simplify

w = f_{d} f_{b}

Find the first partial derivative by treating the variable f_{b} as a constant and differentiating with respect to f_{d}

\frac{\partial w}{\partial f _{d}} = \frac{\partial}{\partial f _{d}} (f_{d} f_{b})

Use differentiation rule \frac{\partial}{\partial x} (c f (x)) = c \times \frac{\partial}{\partial x} (f (x))

\frac{\partial w}{\partial f _{d}} = f_{b} \times \frac{\partial}{\partial f _{d}} (f_{d})

Use \frac{\partial}{\partial x} x^{n} = n x^{n - 1} to find derivative

\frac{\partial w}{\partial f _{d}} = f_{b} \times 1

Solution

\frac{\partial w}{\partial f _{d}} = f_{b}

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