Gwahaniaethu w.r.t. x
-\frac{4x\left(3x-1\right)}{\left(6x-1\right)^{2}}
Enrhifo
\frac{2x^{2}}{1-6x}
Graff
Rhannu
Copïo i clipfwrdd
\frac{\left(-6x^{1}+1\right)\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2})-2x^{2}\frac{\mathrm{d}}{\mathrm{d}x}(-6x^{1}+1)}{\left(-6x^{1}+1\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(-6x^{1}+1\right)\times 2\times 2x^{2-1}-2x^{2}\left(-6\right)x^{1-1}}{\left(-6x^{1}+1\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(-6x^{1}+1\right)\times 4x^{1}-2x^{2}\left(-6\right)x^{0}}{\left(-6x^{1}+1\right)^{2}}
Gwneud y symiau.
\frac{-6x^{1}\times 4x^{1}+4x^{1}-2x^{2}\left(-6\right)x^{0}}{\left(-6x^{1}+1\right)^{2}}
Ehangu gan ddefnyddio’r briodwedd ddosbarthol.
\frac{-6\times 4x^{1+1}+4x^{1}-2\left(-6\right)x^{2}}{\left(-6x^{1}+1\right)^{2}}
I luosi pwerau sy’n rhannu’r un sail, ychwanegwch eu hesbonyddion.
\frac{-24x^{2}+4x^{1}-\left(-12x^{2}\right)}{\left(-6x^{1}+1\right)^{2}}
Gwneud y symiau.
\frac{\left(-24-\left(-12\right)\right)x^{2}+4x^{1}}{\left(-6x^{1}+1\right)^{2}}
Cyfuno termau sydd yr un peth.
\frac{-12x^{2}+4x^{1}}{\left(-6x^{1}+1\right)^{2}}
Tynnu -12 o -24.
\frac{4x\left(-3x^{1}+x^{0}\right)}{\left(-6x^{1}+1\right)^{2}}
Ffactora allan 4x.
\frac{4x\left(-3x+x^{0}\right)}{\left(-6x+1\right)^{2}}
Ar gyfer unrhyw derm t, t^{1}=t.
\frac{4x\left(-3x+1\right)}{\left(-6x+1\right)^{2}}
Ar gyfer unrhyw derm t ac eithrio 0, t^{0}=1.
Enghreifftiau
Hafaliad cwadratig
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometreg
4 \sin \theta \cos \theta = 2 \sin \theta
Hafaliad llinol
y = 3x + 4
Rhifyddeg
699 * 533
Matrics
\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}