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Differentiate w.r.t. α
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Evaluate
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\frac{\mathrm{d}}{\mathrm{d}\alpha }(9\alpha ^{67})
Add 64 and 3 to get 67.
67\times 9\alpha ^{67-1}
The derivative of ax^{n} is nax^{n-1}.
603\alpha ^{67-1}
Multiply 67 times 9.
603\alpha ^{66}
Subtract 1 from 67.
9\alpha ^{67}
Add 64 and 3 to get 67.