Enrhifo
\frac{x^{4}+3x^{3}+1}{x+3}
Gwahaniaethu w.r.t. x
\frac{3x^{4}+18x^{3}+27x^{2}-1}{\left(x+3\right)^{2}}
Graff
Rhannu
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\frac{x^{3}\left(x+3\right)}{x+3}+\frac{1}{x+3}
I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluoswch x^{3} â \frac{x+3}{x+3}.
\frac{x^{3}\left(x+3\right)+1}{x+3}
Gan fod gan \frac{x^{3}\left(x+3\right)}{x+3} a \frac{1}{x+3} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.
\frac{x^{4}+3x^{3}+1}{x+3}
Gwnewch y gwaith lluosi yn x^{3}\left(x+3\right)+1.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{3}\left(x+3\right)}{x+3}+\frac{1}{x+3})
I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluoswch x^{3} â \frac{x+3}{x+3}.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{3}\left(x+3\right)+1}{x+3})
Gan fod gan \frac{x^{3}\left(x+3\right)}{x+3} a \frac{1}{x+3} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{4}+3x^{3}+1}{x+3})
Gwnewch y gwaith lluosi yn x^{3}\left(x+3\right)+1.
\frac{\left(x^{1}+3\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}+3x^{3}+1)-\left(x^{4}+3x^{3}+1\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}+3)}{\left(x^{1}+3\right)^{2}}
Ar gyfer unrhyw ddau ffwythiant y mae modd eu gwahaniaethu, deilliad cyniferydd dau ffwythiant yw’r enwadur wedi’i luosi â deilliad yr enwadur wedi’i dynnu o’r rhifiadur wedi’i luosi â deilliad yr enwadur, y cwbl wedi’i rannu â’r enwadur wedi'i sgwario.
\frac{\left(x^{1}+3\right)\left(4x^{4-1}+3\times 3x^{3-1}\right)-\left(x^{4}+3x^{3}+1\right)x^{1-1}}{\left(x^{1}+3\right)^{2}}
Deilliad polynomaial yw swm deilliadau ei dermau. Deilliad term cyson yw 0. Y deilliad o ax^{n} yw nax^{n-1}.
\frac{\left(x^{1}+3\right)\left(4x^{3}+9x^{2}\right)-\left(x^{4}+3x^{3}+1\right)x^{0}}{\left(x^{1}+3\right)^{2}}
Symleiddio.
\frac{x^{1}\times 4x^{3}+x^{1}\times 9x^{2}+3\times 4x^{3}+3\times 9x^{2}-\left(x^{4}+3x^{3}+1\right)x^{0}}{\left(x^{1}+3\right)^{2}}
Lluoswch x^{1}+3 â 4x^{3}+9x^{2}.
\frac{x^{1}\times 4x^{3}+x^{1}\times 9x^{2}+3\times 4x^{3}+3\times 9x^{2}-\left(x^{4}x^{0}+3x^{3}x^{0}+x^{0}\right)}{\left(x^{1}+3\right)^{2}}
Lluoswch x^{4}+3x^{3}+1 â x^{0}.
\frac{4x^{1+3}+9x^{1+2}+3\times 4x^{3}+3\times 9x^{2}-\left(x^{4}+3x^{3}+x^{0}\right)}{\left(x^{1}+3\right)^{2}}
I luosi pwerau sy’n rhannu’r un sail, ychwanegwch eu hesbonyddion.
\frac{4x^{4}+9x^{3}+12x^{3}+27x^{2}-\left(x^{4}+3x^{3}+x^{0}\right)}{\left(x^{1}+3\right)^{2}}
Symleiddio.
\frac{3x^{4}+6x^{3}+12x^{3}+27x^{2}-x^{0}}{\left(x^{1}+3\right)^{2}}
Cyfuno termau sydd yr un peth.
\frac{3x^{4}+6x^{3}+12x^{3}+27x^{2}-x^{0}}{\left(x+3\right)^{2}}
Ar gyfer unrhyw derm t, t^{1}=t.
\frac{3x^{4}+6x^{3}+12x^{3}+27x^{2}-1}{\left(x+3\right)^{2}}
Ar gyfer unrhyw derm t ac eithrio 0, t^{0}=1.
Enghreifftiau
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699 * 533
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\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Hafaliad ar y pryd
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Gwahaniaethu
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integreiddiad
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Terfynau
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}