Datrys (x-3)^1/2 | Microsoft Math Solver

Gwahaniaethu w.r.t. x

Enrhifo

Graff

Cwis

Algebra

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Rhannu

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\frac{1}{2}\left(x^{1}-3\right)^{\frac{1}{2}-1}\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}-3)

Os yw F yn gyfansoddiad dwy ffwythiant y mae modd eu gwahaniaethu f\left(u\right) a u=g\left(x\right), hynny yw, os yw F\left(x\right)=f\left(g\left(x\right)\right), yna deilliad F yw deilliad o f mewn cysylltiad â u wedi’i luosi â deilliad g mewn cysylltiad â x, hynny yw\frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right).

\frac{1}{2}\left(x^{1}-3\right)^{-\frac{1}{2}}x^{1-1}

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

\frac{1}{2}x^{0}\left(x^{1}-3\right)^{-\frac{1}{2}}

Symleiddio.

\frac{1}{2}x^{0}\left(x-3\right)^{-\frac{1}{2}}

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

\frac{1}{2}\times 1\left(x-3\right)^{-\frac{1}{2}}

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

\frac{1}{2}\left(x-3\right)^{-\frac{1}{2}}

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