Datrys (1/2-1/4-1/6)x^12-25frac{5{6}}div(-5)

$$( \frac { 1 } { 2 } - \frac { 1 } { 4 } - \frac { 1 } { 6 } ) x ^ { 12 - 25 \frac { 5 } { 6 } } \div ( - 5 )$$

Enrhifo

$$-\frac{1}{60x^{\frac{83}{6}}}$$

Camau Ateb

Tynnu \frac{1}{4} o \frac{1}{2} i gael \frac{1}{4}.

$$\frac{\left(\frac{1}{4}-\frac{1}{6}\right)x^{12-\frac{25\times 6+5}{6}}}{-5}$$

Tynnu \frac{1}{6} o \frac{1}{4} i gael \frac{1}{12}.

$$\frac{\frac{1}{12}x^{12-\frac{25\times 6+5}{6}}}{-5}$$

Lluosi 25 a 6 i gael 150.

$$\frac{\frac{1}{12}x^{12-\frac{150+5}{6}}}{-5}$$

Adio 150 a 5 i gael 155.

$$\frac{\frac{1}{12}x^{12-\frac{155}{6}}}{-5}$$

Tynnu \frac{155}{6} o 12 i gael -\frac{83}{6}.

$$\frac{\frac{1}{12}x^{-\frac{83}{6}}}{-5}$$

Rhannu \frac{1}{12}x^{-\frac{83}{6}} â -5 i gael -\frac{1}{60}x^{-\frac{83}{6}}.

$$-\frac{1}{60}x^{-\frac{83}{6}}$$

Gwahaniaethu w.r.t. x

$$\frac{83}{360x^{\frac{89}{6}}}$$

Camau gan Ddefnyddio Diffiniad o Ddeilliad

Tynnu \frac{1}{4} o \frac{1}{2} i gael \frac{1}{4}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\left(\frac{1}{4}-\frac{1}{6}\right)x^{12-\frac{25\times 6+5}{6}}}{-5})$$

Tynnu \frac{1}{6} o \frac{1}{4} i gael \frac{1}{12}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1}{12}x^{12-\frac{25\times 6+5}{6}}}{-5})$$

Lluosi 25 a 6 i gael 150.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1}{12}x^{12-\frac{150+5}{6}}}{-5})$$

Adio 150 a 5 i gael 155.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1}{12}x^{12-\frac{155}{6}}}{-5})$$

Tynnu \frac{155}{6} o 12 i gael -\frac{83}{6}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1}{12}x^{-\frac{83}{6}}}{-5})$$

Rhannu \frac{1}{12}x^{-\frac{83}{6}} â -5 i gael -\frac{1}{60}x^{-\frac{83}{6}}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{1}{60}x^{-\frac{83}{6}})$$

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

$$-\frac{83}{6}\left(-\frac{1}{60}\right)x^{-\frac{83}{6}-1}$$

Lluoswch -\frac{83}{6} â -\frac{1}{60} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur. Yna, dylech leihau’r ffracsiwn i’r termau isaf os yn bosibl.

$$\frac{83}{360}x^{-\frac{83}{6}-1}$$

Tynnu 1 o -\frac{83}{6}.

$$\frac{83}{360}x^{-\frac{89}{6}}$$