Datrys 1*(10/3x)div(5/6x)

$$1 \cdot ( \frac { 10 } { 3 } x ) \div ( \frac { 5 } { 6 x } )$$

Enrhifo

$$4x^{2}$$

Camau Ateb

Lluosi 1 a \frac{10}{3} i gael \frac{10}{3}.

$$\frac{\frac{10}{3}x}{\frac{5}{6x}}$$

Rhannwch \frac{10}{3}x â \frac{5}{6x} drwy luosi \frac{10}{3}x â chilydd \frac{5}{6x}.

$$\frac{\frac{10}{3}x\times 6x}{5}$$

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

$$\frac{\frac{10}{3}x^{2}\times 6}{5}$$

Mynegwch \frac{10}{3}\times 6 fel ffracsiwn unigol.

$$\frac{\frac{10\times 6}{3}x^{2}}{5}$$

Lluosi 10 a 6 i gael 60.

$$\frac{\frac{60}{3}x^{2}}{5}$$

Rhannu 60 â 3 i gael 20.

$$\frac{20x^{2}}{5}$$

Rhannu 20x^{2} â 5 i gael 4x^{2}.

$$4x^{2}$$

Gwahaniaethu w.r.t. x

$$8x$$

Camau gan Ddefnyddio Diffiniad o Ddeilliad

Lluosi 1 a \frac{10}{3} i gael \frac{10}{3}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10}{3}x}{\frac{5}{6x}})$$

Rhannwch \frac{10}{3}x â \frac{5}{6x} drwy luosi \frac{10}{3}x â chilydd \frac{5}{6x}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10}{3}x\times 6x}{5})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10}{3}x^{2}\times 6}{5})$$

Mynegwch \frac{10}{3}\times 6 fel ffracsiwn unigol.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10\times 6}{3}x^{2}}{5})$$

Lluosi 10 a 6 i gael 60.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{60}{3}x^{2}}{5})$$

Rhannu 60 â 3 i gael 20.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{20x^{2}}{5})$$

Rhannu 20x^{2} â 5 i gael 4x^{2}.

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

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

$$2\times 4x^{2-1}$$

Lluoswch 2 â 4.

$$8x^{2-1}$$

Tynnu 1 o 2.

$$8x^{1}$$

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

$$8x$$