{(e)^ln(1+2x^2)} eching

$${(e)^{ \ln ( 1+2 { x }^{ 2 } ) }}$$

x ga nisbatan hosilani topish

$$4x$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

a^{\log_{a}\left(b\right)}=b qoidasini tatbiq qilish, bu yerdda a=e va b=1+2x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1+2x^{2})$$

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

$$2\times 2x^{2-1}$$

2 ni 2 marotabaga ko'paytirish.

$$4x^{2-1}$$

2 dan 1 ni ayirish.

$$4x^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$4x$$

Baholash

$$2x^{2}+1$$

Yechim qadamlari

a^{\log_{a}\left(b\right)}=b qoidasini tatbiq qilish, bu yerdda a=e va b=1+2x^{2}.

$$1+2x^{2}$$