Datrys -4/3sqrt{18}div2sqrt{8}x

$$- \frac { 4 } { 3 } \sqrt { 18 } \div 2 \sqrt { 8 } x$$

Enrhifo

$$-8x$$

Camau Ateb

Ffactora 18=3^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 2} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{2}. Cymryd isradd 3^{2}.

$$\frac{-\frac{4}{3}\times 3\sqrt{2}}{2}\sqrt{8}x$$

Canslo 3 a 3.

$$\frac{-4\sqrt{2}}{2}\sqrt{8}x$$

Rhannu -4\sqrt{2} â 2 i gael -2\sqrt{2}.

$$-2\sqrt{2}\sqrt{8}x$$

Ffactora 8=2^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 2} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{2}. Cymryd isradd 2^{2}.

$$-2\sqrt{2}\times 2\sqrt{2}x$$

Lluosi -2 a 2 i gael -4.

$$-4\sqrt{2}\sqrt{2}x$$

Lluosi \sqrt{2} a \sqrt{2} i gael 2.

$$-4\times 2x$$

Lluosi -4 a 2 i gael -8.

$$-8x$$

Gwahaniaethu w.r.t. x

$$-8$$

Camau gan Ddefnyddio Diffiniad o Ddeilliad

Ffactora 18=3^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 2} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{2}. Cymryd isradd 3^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-\frac{4}{3}\times 3\sqrt{2}}{2}\sqrt{8}x)$$

Canslo 3 a 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-4\sqrt{2}}{2}\sqrt{8}x)$$

Rhannu -4\sqrt{2} â 2 i gael -2\sqrt{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2\sqrt{2}\sqrt{8}x)$$

Ffactora 8=2^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 2} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{2}. Cymryd isradd 2^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2\sqrt{2}\times 2\sqrt{2}x)$$

Lluosi -2 a 2 i gael -4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\sqrt{2}\sqrt{2}x)$$

Lluosi \sqrt{2} a \sqrt{2} i gael 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\times 2x)$$

Lluosi -4 a 2 i gael -8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-8x)$$

Deilliad ax^{n} yw nax^{n-1}.

$$-8x^{1-1}$$

Tynnu 1 o 1.

$$-8x^{0}$$

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

$$-8$$