Issolvi 168x^5*frac{1}3^3

$$168 x ^ { 5 } \cdot \frac { 1 } { 3 } ^ { 3 }$$

Evalwa

$$\frac{56x^{5}}{9}$$

Passi tas-Soluzzjonijiet

Ikkalkula \frac{1}{3} bil-power ta' 3 u tikseb \frac{1}{27}.

$$168x^{5}\times \frac{1}{27}$$

Immultiplika 168 u \frac{1}{27} biex tikseb \frac{56}{9}.

$$\frac{56}{9}x^{5}$$

Iddifferenzja w.r.t. x

$$\frac{280x^{4}}{9}$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Ikkalkula \frac{1}{3} bil-power ta' 3 u tikseb \frac{1}{27}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(168x^{5}\times \frac{1}{27})$$

Immultiplika 168 u \frac{1}{27} biex tikseb \frac{56}{9}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{56}{9}x^{5})$$

Id-derivattiv ta' ax^{n} huwa nax^{n-1}.

$$5\times \frac{56}{9}x^{5-1}$$

Immultiplika 5 b'\frac{56}{9}.

$$\frac{280}{9}x^{5-1}$$

Naqqas 1 minn 5.

$$\frac{280}{9}x^{4}$$