Datrys frac{10^{5}x6^5x24}{48^2x15^4x4^3}

$$\frac { 10 ^ { 5 } x 6 ^ { 5 } x 24 } { 48 ^ { 2 } x 15 ^ { 4 } x 4 ^ { 3 } }$$

Enrhifo

$$\frac{5x_{24}}{48x}$$

Camau Ateb

Lluosi x a x i gael x^{2}.

$$\frac{10^{5}x\times 6^{5}x_{24}}{48^{2}x^{2}\times 15^{4}\times 4^{3}}$$

Canslo x yn y rhifiadur a'r enwadur.

$$\frac{6^{5}\times 10^{5}x_{24}}{4^{3}\times 15^{4}\times 48^{2}x}$$

Cyfrifo 6 i bŵer 5 a chael 7776.

$$\frac{7776\times 10^{5}x_{24}}{4^{3}\times 15^{4}\times 48^{2}x}$$

Cyfrifo 10 i bŵer 5 a chael 100000.

$$\frac{7776\times 100000x_{24}}{4^{3}\times 15^{4}\times 48^{2}x}$$

Lluosi 7776 a 100000 i gael 777600000.

$$\frac{777600000x_{24}}{4^{3}\times 15^{4}\times 48^{2}x}$$

Cyfrifo 4 i bŵer 3 a chael 64.

$$\frac{777600000x_{24}}{64\times 15^{4}\times 48^{2}x}$$

Cyfrifo 15 i bŵer 4 a chael 50625.

$$\frac{777600000x_{24}}{64\times 50625\times 48^{2}x}$$

Lluosi 64 a 50625 i gael 3240000.

$$\frac{777600000x_{24}}{3240000\times 48^{2}x}$$

Cyfrifo 48 i bŵer 2 a chael 2304.

$$\frac{777600000x_{24}}{3240000\times 2304x}$$

Lluosi 3240000 a 2304 i gael 7464960000.

$$\frac{777600000x_{24}}{7464960000x}$$

Canslo 155520000 yn y rhifiadur a'r enwadur.

$$\frac{5x_{24}}{48x}$$

Gwahaniaethu w.r.t. x

$$-\frac{5x_{24}}{48x^{2}}$$

Camau Ateb

Er mwyn rhannu pwerau sy’n rhannu’r un sail, tynnwch esbonydd yr enwadur o esbonydd y rhifiadur.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{777600000x_{24}}{7464960000x}x^{1-1})$$

Gwneud y symiau.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5x_{24}}{48x}x^{0})$$

Ar gyfer unrhyw rif a ac eithrio 0, a^{0}=1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5x_{24}}{48x})$$

Deilliad term cyson yw 0.

$$0$$