Datrys (n+9)+(4n^3+2n^2+4n+2)

$$( n + 9 ) + ( 4 n ^ { 3 } + 2 n ^ { 2 } + 4 n + 2 )$$

Enrhifo

$$4n^{3}+2n^{2}+5n+11$$

Camau Ateb

Cyfuno n a 4n i gael 5n.

$$5n+9+4n^{3}+2n^{2}+2$$

Adio 9 a 2 i gael 11.

$$5n+11+4n^{3}+2n^{2}$$

Gwahaniaethu w.r.t. n

$$12n^{2}+4n+5$$

Camau gan Ddefnyddio Rheol Deilliadol ar gyfer Swm

Cyfuno n a 4n i gael 5n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(5n+9+4n^{3}+2n^{2}+2)$$

Adio 9 a 2 i gael 11.

$$\frac{\mathrm{d}}{\mathrm{d}n}(5n+11+4n^{3}+2n^{2})$$

Deilliad polynomaial yw swm deilliadau ei dermau. Deilliad term cyson yw 0. Y deilliad o ax^{n} yw nax^{n-1}.

$$5n^{1-1}+3\times 4n^{3-1}+2\times 2n^{2-1}$$

Tynnu 1 o 1.

$$5n^{0}+3\times 4n^{3-1}+2\times 2n^{2-1}$$

Lluoswch 3 â 4.

$$5n^{0}+12n^{3-1}+2\times 2n^{2-1}$$

Tynnu 1 o 3.

$$5n^{0}+12n^{2}+2\times 2n^{2-1}$$

Lluoswch 3 â 4.

$$5n^{0}+12n^{2}+4n^{2-1}$$

Tynnu 1 o 2.

$$5n^{0}+12n^{2}+4n^{1}$$

Ar gyfer unrhyw derm t, t^{1}=t.

$$5n^{0}+12n^{2}+4n$$

Ar gyfer unrhyw derm t ac eithrio 0, t^{0}=1.

$$5\times 1+12n^{2}+4n$$

Ar gyfer unrhyw derm t, t\times 1=t a 1t=t.

$$5+12n^{2}+4n$$