Differentiate w.r.t. y
6y^{5}-1
Evaluate
y^{6}-y-1
Graph
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\frac{\mathrm{d}}{\mathrm{d}y}(y^{6}-y-1)
Divide 2 by 2 to get 1.
6y^{6-1}-y^{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}.
6y^{5}-y^{1-1}
Subtract 1 from 6.
6y^{5}-y^{0}
Subtract 1 from 1.
6y^{5}-1
For any term t except 0, t^{0}=1.
y^{6}-y-1
Divide 2 by 2 to get 1.
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