6h^{2}-3h^3+10-5h^2+2h^3-h^2 eching

$$6 h ^ { 2 } - 3 h ^ { 3 } + 10 - 5 h ^ { 2 } + 2 h ^ { 3 } - h ^ { 2 }$$

Baholash

$$10-h^{3}$$

Yechim qadamlari

h^{2} ni olish uchun 6h^{2} va -5h^{2} ni birlashtirish.

$$h^{2}-3h^{3}+10+2h^{3}-h^{2}$$

-h^{3} ni olish uchun -3h^{3} va 2h^{3} ni birlashtirish.

$$h^{2}-h^{3}+10-h^{2}$$

0 ni olish uchun h^{2} va -h^{2} ni birlashtirish.

$$-h^{3}+10$$

h ga nisbatan hosilani topish

$$-3h^{2}$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

h^{2} ni olish uchun 6h^{2} va -5h^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}h}(h^{2}-3h^{3}+10+2h^{3}-h^{2})$$

-h^{3} ni olish uchun -3h^{3} va 2h^{3} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}h}(h^{2}-h^{3}+10-h^{2})$$

0 ni olish uchun h^{2} va -h^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}h}(-h^{3}+10)$$

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

$$3\left(-1\right)h^{3-1}$$

3 ni -1 marotabaga ko'paytirish.

$$-3h^{3-1}$$

3 dan 1 ni ayirish.

$$-3h^{2}$$