Issolvi 1+e(2x)-2xe(2x)

$$1+e(2x)-2xe(2x)$$

Evalwa

$$1+2ex-4ex^{2}$$

Passi tas-Soluzzjonijiet

Immultiplika x u x biex tikseb x^{2}.

$$1+e\times 2x-2x^{2}e\times 2$$

Immultiplika 2 u 2 biex tikseb 4.

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

Iddifferenzja w.r.t. x

$$2e-8ex$$

Passi għall-Użu ta' Regola Derivattiva għal Somma

Immultiplika x u x biex tikseb x^{2}.

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

Immultiplika 2 u 2 biex tikseb 4.

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

Id-derivattiva ta’ polynomial hija s-somma tad-derivattivi tat-termini tagħha. Id-derivattiva ta’ terminu kostanti hija 0. Id-derivattiva ta’ ax^{n} hijanax^{n-1}.

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

Naqqas 1 minn 1.

$$2ex^{0}+2\left(-4e\right)x^{2-1}$$

Immultiplika 2 b'-4e.

$$2ex^{0}+\left(-8e\right)x^{2-1}$$

Naqqas 1 minn 2.

$$2ex^{0}+\left(-8e\right)x^{1}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$2ex^{0}+\left(-8e\right)x$$

Għal kwalunkwe terminu t ħlief 0, t^{0}=1.

$$2e\times 1+\left(-8e\right)x$$

Għal kwalunkwe terminu t, t\times 1=t u 1t=t.

$$2e+\left(-8e\right)x$$