Datrys [(x^3)^frac{1{3}}]^frac{1{5}}

$$[ ( x ^ { 3 } ) ^ { \frac { 1 } { 3 } } ] ^ { \frac { 1 } { 5 } }$$

Enrhifo

$$\sqrt[5]{x}$$

Camau Ateb

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

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

Cyfrifo x i bŵer 1 a chael x.

$$x^{\frac{1}{5}}$$

Gwahaniaethu w.r.t. x

$$\frac{1}{5x^{\frac{4}{5}}}$$

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.

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

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch 1 a \frac{1}{5} i gael \frac{1}{5}.

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

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

$$\frac{1}{5}x^{\frac{1}{5}-1}$$

Tynnu 1 o \frac{1}{5}.

$$\frac{1}{5}x^{-\frac{4}{5}}$$