f(x)=e^-05x^2+x^3 eching

$$f ( x ) = e ^ { - 05 x ^ { 2 } } + x ^ { 3 }$$

Baholash

$$x^{3}+1$$

Yechim qadamlari

0 hosil qilish uchun 0 va 5 ni ko'paytirish.

$$e^{0x^{2}}+x^{3}$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$e^{0}+x^{3}$$

0 daraja ko‘rsatkichini e ga hisoblang va 1 ni qiymatni oling.

$$1+x^{3}$$

x ga nisbatan hosilani topish

$$3x^{2}$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

0 hosil qilish uchun 0 va 5 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(e^{0x^{2}}+x^{3})$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(e^{0}+x^{3})$$

0 daraja ko‘rsatkichini e ga hisoblang va 1 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1+x^{3})$$

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

$$3x^{3-1}$$

3 dan 1 ni ayirish.

$$3x^{2}$$