Differentiate w.r.t. θ_0
0.21
Evaluate
\frac{21\theta _{0}}{100}+8
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\frac{\mathrm{d}}{\mathrm{d}\theta _{0}}(\theta _{0}\times 0.21+8)
Add 5 and 3 to get 8.
0.21\theta _{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}.
0.21\theta _{0}^{0}
Subtract 1 from 1.
0.21\times 1
For any term t except 0, t^{0}=1.
0.21
For any term t, t\times 1=t and 1t=t.
\theta _{0}\times 0.21+8
Add 5 and 3 to get 8.
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