7-5x^3*(-3x^4) eching

$$7 - 5 x ^ { 3 } \cdot ( - 3 x ^ { 4 } )$$

Baholash

$$15x^{7}+7$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$7-5x^{7}\left(-3\right)$$

-15 hosil qilish uchun 5 va -3 ni ko'paytirish.

$$7-\left(-15x^{7}\right)$$

-15x^{7} ning teskarisi 15x^{7} ga teng.

$$7+15x^{7}$$

x ga nisbatan hosilani topish

$$105x^{6}$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7-5x^{7}\left(-3\right))$$

-15 hosil qilish uchun 5 va -3 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7-\left(-15x^{7}\right))$$

-15x^{7} ning teskarisi 15x^{7} ga teng.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7+15x^{7})$$

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

$$7\times 15x^{7-1}$$

7 ni 15 marotabaga ko'paytirish.

$$105x^{7-1}$$

7 dan 1 ni ayirish.

$$105x^{6}$$