Differentiate w.r.t. f_0
0.75
Evaluate
\frac{3f_{0}}{4}+12.425
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\frac{\mathrm{d}}{\mathrm{d}f_{0}}(f_{0}\times 0.75+12.425)
Add 10.425 and 2 to get 12.425.
0.75f_{0}^{1-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
0.75f_{0}^{0}
Subtract 1 from 1.
0.75\times 1
For any term t except 0, t^{0}=1.
0.75
For any term t, t\times 1=t and 1t=t.
f_{0}\times 0.75+12.425
Add 10.425 and 2 to get 12.425.
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