What is d/(dd)(n(1-d*n)) ?

The solution to d/(dd)(n(1-d*n)) is (n(1-dn))/d

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simplify d/(dd)(n(1-d*n))

simplify

\frac{d}{dd} (n (1 - d \cdot n))

\frac{n ( 1 - d n )}{d}

Solution steps

\frac{d}{dd} (n (1 - d n))

Cancel

\frac{d}{dd} : \frac{1}{d}

= \frac{1}{d} n (1 - d n)

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot n ( 1 - d n )}{d}

Apply rule:

1 \cdot a = a

1 \cdot n (1 - d n) = n (1 - d n)

= \frac{n ( 1 - d n )}{d}