Lahenda 30t^{3}+(-5t^3)+9t^3-17t^3-(-8t^3)

$$30 t ^ { 3 } + ( - 5 t ^ { 3 } ) + 9 t ^ { 3 } - 17 t ^ { 3 } - ( - 8 t ^ { 3 } )$$

Arvuta

$$25t^{3}$$

Lahenduse etapid

Kombineerige 30t^{3} ja -5t^{3}, et leida 25t^{3}.

$$25t^{3}+9t^{3}-17t^{3}-\left(-8t^{3}\right)$$

Kombineerige 25t^{3} ja 9t^{3}, et leida 34t^{3}.

$$34t^{3}-17t^{3}-\left(-8t^{3}\right)$$

Kombineerige 34t^{3} ja -17t^{3}, et leida 17t^{3}.

$$17t^{3}-\left(-8t^{3}\right)$$

Arvu -8t^{3} vastand on 8t^{3}.

$$17t^{3}+8t^{3}$$

Kombineerige 17t^{3} ja 8t^{3}, et leida 25t^{3}.

$$25t^{3}$$

Diferentseeri t-i järgi

$$75t^{2}$$

Juhised tuletise definitsiooni kasutamisel

Kombineerige 30t^{3} ja -5t^{3}, et leida 25t^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}t}(25t^{3}+9t^{3}-17t^{3}-\left(-8t^{3}\right))$$

Kombineerige 25t^{3} ja 9t^{3}, et leida 34t^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}t}(34t^{3}-17t^{3}-\left(-8t^{3}\right))$$

Kombineerige 34t^{3} ja -17t^{3}, et leida 17t^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}t}(17t^{3}-\left(-8t^{3}\right))$$

Arvu -8t^{3} vastand on 8t^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}t}(17t^{3}+8t^{3})$$

Kombineerige 17t^{3} ja 8t^{3}, et leida 25t^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}t}(25t^{3})$$

ax^{n} tuletis on nax^{n-1}.

$$3\times 25t^{3-1}$$

Korrutage omavahel 3 ja 25.

$$75t^{3-1}$$

Lahutage 1 väärtusest 3.

$$75t^{2}$$