Datrys r^3-4r^2+3r-12^2

$$r ^ { 3 } - 4 r ^ { 2 } + 3 r - 12 ^ { 2 }$$

Gwahaniaethu w.r.t. r

$$3r^{2}-8r+3$$

Camau gan Ddefnyddio Rheol Deilliadol ar gyfer Swm

Cyfrifo 12 i bŵer 2 a chael 144.

$$\frac{\mathrm{d}}{\mathrm{d}r}(r^{3}-4r^{2}+3r-144)$$

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

$$3r^{3-1}+2\left(-4\right)r^{2-1}+3r^{1-1}$$

Tynnu 1 o 3.

$$3r^{2}+2\left(-4\right)r^{2-1}+3r^{1-1}$$

Lluoswch 2 â -4.

$$3r^{2}-8r^{2-1}+3r^{1-1}$$

Tynnu 1 o 2.

$$3r^{2}-8r^{1}+3r^{1-1}$$

Tynnu 1 o 1.

$$3r^{2}-8r^{1}+3r^{0}$$

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

$$3r^{2}-8r+3r^{0}$$

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

$$3r^{2}-8r+3\times 1$$

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

$$3r^{2}-8r+3$$

Enrhifo

$$r^{3}-4r^{2}+3r-144$$

Camau Ateb

Cyfrifo 12 i bŵer 2 a chael 144.

$$r^{3}-4r^{2}+3r-144$$