Issolvi f(x)=6x^4-4x^3-35^2+34x+24

$$f ( x ) = 6 x ^ { 4 } - 4 x ^ { 3 } - 35 ^ { 2 } + 34 x + 24$$

Evalwa

$$6x^{4}-4x^{3}+34x-1201$$

Passi tas-Soluzzjonijiet

Ikkalkula 35 bil-power ta' 2 u tikseb 1225.

$$6x^{4}-4x^{3}-1225+34x+24$$

Żid -1225 u 24 biex tikseb -1201.

$$6x^{4}-4x^{3}-1201+34x$$

Iddifferenzja w.r.t. x

$$24x^{3}-12x^{2}+34$$

Passi għall-Użu ta' Regola Derivattiva għal Somma

Ikkalkula 35 bil-power ta' 2 u tikseb 1225.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{4}-4x^{3}-1225+34x+24)$$

Żid -1225 u 24 biex tikseb -1201.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{4}-4x^{3}-1201+34x)$$

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}.

$$4\times 6x^{4-1}+3\left(-4\right)x^{3-1}+34x^{1-1}$$

Immultiplika 4 b'6.

$$24x^{4-1}+3\left(-4\right)x^{3-1}+34x^{1-1}$$

Naqqas 1 minn 4.

$$24x^{3}+3\left(-4\right)x^{3-1}+34x^{1-1}$$

Immultiplika 3 b'-4.

$$24x^{3}-12x^{3-1}+34x^{1-1}$$

Naqqas 1 minn 3.

$$24x^{3}-12x^{2}+34x^{1-1}$$

Naqqas 1 minn 1.

$$24x^{3}-12x^{2}+34x^{0}$$

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

$$24x^{3}-12x^{2}+34\times 1$$

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

$$24x^{3}-12x^{2}+34$$