Enrhifo
x^{6}+1
Gwahaniaethu w.r.t. x
6x^{5}
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\left(x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{2}+x^{2}-\sqrt{3}x+1\right)\left(x^{2}+\sqrt{3}x+1\right)
Defnyddio’r briodwedd ddosbarthu i luosi x^{2}+1 â x^{2}-\sqrt{3}x+1.
\left(x^{2}-\sqrt{3}x\right)x^{4}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Defnyddio’r briodwedd ddosbarthu i luosi x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{2}+x^{2}-\sqrt{3}x+1 â x^{2}+\sqrt{3}x+1 a chyfuno termau tebyg.
x^{6}-\sqrt{3}x^{5}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Defnyddio’r briodwedd ddosbarthu i luosi x^{2}-\sqrt{3}x â x^{4}.
x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-x\left(\sqrt{3}\right)^{2}\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Defnyddio’r briodwedd ddosbarthu i luosi x^{2}-\sqrt{3}x â \sqrt{3}.
x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-x\times 3\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Sgwâr \sqrt{3} yw 3.
x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-3x\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Lluosi -1 a 3 i gael -3.
x^{6}-\sqrt{3}x^{5}+\sqrt{3}x^{5}-3x^{4}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Defnyddio’r briodwedd ddosbarthu i luosi x^{2}\sqrt{3}-3x â x^{3}.
x^{6}-3x^{4}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Cyfuno -\sqrt{3}x^{5} a \sqrt{3}x^{5} i gael 0.
x^{6}-3x^{4}+2x^{4}-2\sqrt{3}x^{3}+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Defnyddio’r briodwedd ddosbarthu i luosi 2x^{2} â x^{2}-\sqrt{3}x.
x^{6}-x^{4}-2\sqrt{3}x^{3}+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Cyfuno -3x^{4} a 2x^{4} i gael -x^{4}.
x^{6}-2\sqrt{3}x^{3}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Cyfuno -x^{4} a x^{4} i gael 0.
x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Cyfuno -2\sqrt{3}x^{3} a \sqrt{3}x^{3} i gael -\sqrt{3}x^{3}.
x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-x\left(\sqrt{3}\right)^{2}\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Defnyddio’r briodwedd ddosbarthu i luosi x^{2}-\sqrt{3}x â \sqrt{3}.
x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-x\times 3\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Sgwâr \sqrt{3} yw 3.
x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-3x\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Lluosi -1 a 3 i gael -3.
x^{6}-\sqrt{3}x^{3}+2x^{2}+\sqrt{3}x^{3}-3x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Defnyddio’r briodwedd ddosbarthu i luosi x^{2}\sqrt{3}-3x â x.
x^{6}+2x^{2}-3x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Cyfuno -\sqrt{3}x^{3} a \sqrt{3}x^{3} i gael 0.
x^{6}-x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Cyfuno 2x^{2} a -3x^{2} i gael -x^{2}.
x^{6}-\sqrt{3}x+\sqrt{3}x+1
Cyfuno -x^{2} a x^{2} i gael 0.
x^{6}+1
Cyfuno -\sqrt{3}x a \sqrt{3}x i gael 0.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{2}+x^{2}-\sqrt{3}x+1\right)\left(x^{2}+\sqrt{3}x+1\right))
Defnyddio’r briodwedd ddosbarthu i luosi x^{2}+1 â x^{2}-\sqrt{3}x+1.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(x^{2}-\sqrt{3}x\right)x^{4}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Defnyddio’r briodwedd ddosbarthu i luosi x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{2}+x^{2}-\sqrt{3}x+1 â x^{2}+\sqrt{3}x+1 a chyfuno termau tebyg.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{5}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Defnyddio’r briodwedd ddosbarthu i luosi x^{2}-\sqrt{3}x â x^{4}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-x\left(\sqrt{3}\right)^{2}\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Defnyddio’r briodwedd ddosbarthu i luosi x^{2}-\sqrt{3}x â \sqrt{3}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-x\times 3\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Sgwâr \sqrt{3} yw 3.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-3x\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Lluosi -1 a 3 i gael -3.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{5}+\sqrt{3}x^{5}-3x^{4}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Defnyddio’r briodwedd ddosbarthu i luosi x^{2}\sqrt{3}-3x â x^{3}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-3x^{4}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Cyfuno -\sqrt{3}x^{5} a \sqrt{3}x^{5} i gael 0.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-3x^{4}+2x^{4}-2\sqrt{3}x^{3}+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Defnyddio’r briodwedd ddosbarthu i luosi 2x^{2} â x^{2}-\sqrt{3}x.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-x^{4}-2\sqrt{3}x^{3}+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Cyfuno -3x^{4} a 2x^{4} i gael -x^{4}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-2\sqrt{3}x^{3}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Cyfuno -x^{4} a x^{4} i gael 0.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Cyfuno -2\sqrt{3}x^{3} a \sqrt{3}x^{3} i gael -\sqrt{3}x^{3}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-x\left(\sqrt{3}\right)^{2}\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Defnyddio’r briodwedd ddosbarthu i luosi x^{2}-\sqrt{3}x â \sqrt{3}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-x\times 3\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Sgwâr \sqrt{3} yw 3.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-3x\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Lluosi -1 a 3 i gael -3.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{3}+2x^{2}+\sqrt{3}x^{3}-3x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Defnyddio’r briodwedd ddosbarthu i luosi x^{2}\sqrt{3}-3x â x.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}+2x^{2}-3x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Cyfuno -\sqrt{3}x^{3} a \sqrt{3}x^{3} i gael 0.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Cyfuno 2x^{2} a -3x^{2} i gael -x^{2}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x+\sqrt{3}x+1)
Cyfuno -x^{2} a x^{2} i gael 0.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}+1)
Cyfuno -\sqrt{3}x a \sqrt{3}x i gael 0.
6x^{6-1}
Deilliad polynomaial yw swm deilliadau ei dermau. Deilliad term cyson yw 0. Y deilliad o ax^{n} yw nax^{n-1}.
6x^{5}
Tynnu 1 o 6.
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