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Differentiate w.r.t. a
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117-0\times 7a+3.92a
Multiply 0 and 0 to get 0.
117-0a+3.92a
Multiply 0 and 7 to get 0.
117-0+3.92a
Anything times zero gives zero.
117+3.92a
Subtract 0 from 117 to get 117.
\frac{\mathrm{d}}{\mathrm{d}a}(117-0\times 7a+3.92a)
Multiply 0 and 0 to get 0.
\frac{\mathrm{d}}{\mathrm{d}a}(117-0a+3.92a)
Multiply 0 and 7 to get 0.
\frac{\mathrm{d}}{\mathrm{d}a}(117-0+3.92a)
Anything times zero gives zero.
\frac{\mathrm{d}}{\mathrm{d}a}(117+3.92a)
Subtract 0 from 117 to get 117.
3.92a^{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}.
3.92a^{0}
Subtract 1 from 1.
3.92\times 1
For any term t except 0, t^{0}=1.
3.92
For any term t, t\times 1=t and 1t=t.