Datrys {left(x^3right)}^frac{1{3}}*{left(x^4right)}^frac{1{2}}*{left(x1/5right)}^5

$${ \left( { x }^{ 3 } \right) }^{ \frac{ 1 }{ 3 } } \times { \left( { x }^{ 4 } \right) }^{ \frac{ 1 }{ 2 } } \times { \left(x \frac{ 1 }{ 5 } \right) }^{ 5 }$$

Enrhifo

$$\frac{x^{8}}{3125}$$

Camau Ateb

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch 3 a \frac{1}{3} i gael 1.

$$x^{1}\left(x^{4}\right)^{\frac{1}{2}}\left(x\times \frac{1}{5}\right)^{5}$$

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch 4 a \frac{1}{2} i gael 2.

$$x^{1}x^{2}\left(x\times \frac{1}{5}\right)^{5}$$

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 1 a 2 i gael 3.

$$x^{3}\left(x\times \frac{1}{5}\right)^{5}$$

Ehangu \left(x\times \frac{1}{5}\right)^{5}.

$$x^{3}x^{5}\times \left(\frac{1}{5}\right)^{5}$$

Cyfrifo \frac{1}{5} i bŵer 5 a chael \frac{1}{3125}.

$$x^{3}x^{5}\times \frac{1}{3125}$$

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 3 a 5 i gael 8.

$$x^{8}\times \frac{1}{3125}$$

Gwahaniaethu w.r.t. x

$$\frac{8x^{7}}{3125}$$

Camau gan Ddefnyddio Diffiniad o Ddeilliad

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch 3 a \frac{1}{3} i gael 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}\left(x^{4}\right)^{\frac{1}{2}}\left(x\times \frac{1}{5}\right)^{5})$$

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch 4 a \frac{1}{2} i gael 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}x^{2}\left(x\times \frac{1}{5}\right)^{5})$$

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 1 a 2 i gael 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\left(x\times \frac{1}{5}\right)^{5})$$

Ehangu \left(x\times \frac{1}{5}\right)^{5}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}x^{5}\times \left(\frac{1}{5}\right)^{5})$$

Cyfrifo \frac{1}{5} i bŵer 5 a chael \frac{1}{3125}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}x^{5}\times \frac{1}{3125})$$

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 3 a 5 i gael 8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{8}\times \frac{1}{3125})$$

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

$$8\times \frac{1}{3125}x^{8-1}$$

Lluoswch 8 â \frac{1}{3125}.

$$\frac{8}{3125}x^{8-1}$$

Tynnu 1 o 8.

$$\frac{8}{3125}x^{7}$$