d/dxleft(x^100+60yx^2-300right) eching

$$\frac{d}{d x } \left( { x }^{ 100 } +60y { x }^{ 2 } -300 \right)$$

Baholash

$$100x^{99}+120xy$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

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

$$100x^{100-1}+2\times 60yx^{2-1}$$

100 dan 1 ni ayirish.

$$100x^{99}+2\times 60yx^{2-1}$$

2 ni 60y marotabaga ko'paytirish.

$$100x^{99}+120yx^{2-1}$$

2 dan 1 ni ayirish.

$$100x^{99}+120yx^{1}$$

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

$$100x^{99}+120yx$$

x ga nisbatan hosilani topish

$$9900x^{98}+120y$$