Datrys (x+1/2)^2-(x-1/2)^2

$$( \frac { x + 1 } { 2 } ) ^ { 2 } - ( \frac { x - 1 } { 2 } ) ^ { 2 }$$

Enrhifo

$$x$$

Camau Ateb Byr

I godi \frac{x+1}{2} i bŵer, codwch y rhifiadur a'r enwadur i bŵer ac yna rhannwch nhw.

$$\frac{\left(x+1\right)^{2}}{2^{2}}-\left(\frac{x-1}{2}\right)^{2}$$

I godi \frac{x-1}{2} i bŵer, codwch y rhifiadur a'r enwadur i bŵer ac yna rhannwch nhw.

$$\frac{\left(x+1\right)^{2}}{2^{2}}-\frac{\left(x-1\right)^{2}}{2^{2}}$$

Cyfrifo 2 i bŵer 2 a chael 4.

$$\frac{\left(x+1\right)^{2}}{2^{2}}-\frac{\left(x-1\right)^{2}}{4}$$

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Ehangu 2^{2}.

$$\frac{\left(x+1\right)^{2}}{4}-\frac{\left(x-1\right)^{2}}{4}$$

Gan fod gan \frac{\left(x+1\right)^{2}}{4} a \frac{\left(x-1\right)^{2}}{4} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{\left(x+1\right)^{2}-\left(x-1\right)^{2}}{4}$$

Gwnewch y gwaith lluosi yn \left(x+1\right)^{2}-\left(x-1\right)^{2}.

$$\frac{x^{2}+2x+1-x^{2}+2x-1}{4}$$

Cyfuno termau tebyg yn x^{2}+2x+1-x^{2}+2x-1.

$$\frac{4x}{4}$$

Canslo 4 a 4.

$$x$$

Gwahaniaethu w.r.t. x

$$1$$

Camau gan Ddefnyddio Diffiniad o Ddeilliad

I godi \frac{x+1}{2} i bŵer, codwch y rhifiadur a'r enwadur i bŵer ac yna rhannwch nhw.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\left(x+1\right)^{2}}{2^{2}}-\left(\frac{x-1}{2}\right)^{2})$$

I godi \frac{x-1}{2} i bŵer, codwch y rhifiadur a'r enwadur i bŵer ac yna rhannwch nhw.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\left(x+1\right)^{2}}{2^{2}}-\frac{\left(x-1\right)^{2}}{2^{2}})$$

Cyfrifo 2 i bŵer 2 a chael 4.

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

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Ehangu 2^{2}.

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

Gan fod gan \frac{\left(x+1\right)^{2}}{4} a \frac{\left(x-1\right)^{2}}{4} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

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

Gwnewch y gwaith lluosi yn \left(x+1\right)^{2}-\left(x-1\right)^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{2}+2x+1-x^{2}+2x-1}{4})$$

Cyfuno termau tebyg yn x^{2}+2x+1-x^{2}+2x-1.

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

Canslo 4 a 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x)$$

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

$$x^{1-1}$$

Tynnu 1 o 1.

$$x^{0}$$

Ar gyfer unrhyw derm t ac eithrio 0, t^{0}=1.

$$1$$