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Evaluate
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Differentiate w.r.t. v
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v^{2}-7v+1+6v+5
Combine 4v^{2} and -3v^{2} to get v^{2}.
v^{2}-v+1+5
Combine -7v and 6v to get -v.
v^{2}-v+6
Add 1 and 5 to get 6.
\frac{\mathrm{d}}{\mathrm{d}v}(v^{2}-7v+1+6v+5)
Combine 4v^{2} and -3v^{2} to get v^{2}.
\frac{\mathrm{d}}{\mathrm{d}v}(v^{2}-v+1+5)
Combine -7v and 6v to get -v.
\frac{\mathrm{d}}{\mathrm{d}v}(v^{2}-v+6)
Add 1 and 5 to get 6.
2v^{2-1}-v^{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}.
2v^{1}-v^{1-1}
Subtract 1 from 2.
2v^{1}-v^{0}
Subtract 1 from 1.
2v-v^{0}
For any term t, t^{1}=t.
2v-1
For any term t except 0, t^{0}=1.