g*(12/5*7/4)div3/2 eching

$$g \cdot ( \frac { 12 } { 5 } \cdot \frac { 7 } { 4 } ) \div \frac { 3 } { 2 }$$

Baholash

$$\frac{14g}{5}$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{12}{5} ni \frac{7}{4} ga ko‘paytiring.

$$\frac{g\times \frac{12\times 7}{5\times 4}}{\frac{3}{2}}$$

\frac{12\times 7}{5\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{g\times \frac{84}{20}}{\frac{3}{2}}$$

\frac{84}{20} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{g\times \frac{21}{5}}{\frac{3}{2}}$$

g\times \frac{21}{5} ni \frac{3}{2} ga bo'lish g\times \frac{21}{5} ga k'paytirish \frac{3}{2} ga qaytarish.

$$\frac{g\times \frac{21}{5}\times 2}{3}$$

\frac{21}{5}\times 2 ni yagona kasrga aylantiring.

$$\frac{g\times \frac{21\times 2}{5}}{3}$$

42 hosil qilish uchun 21 va 2 ni ko'paytirish.

$$\frac{g\times \frac{42}{5}}{3}$$

g\times \frac{14}{5} ni olish uchun g\times \frac{42}{5} ni 3 ga bo‘ling.

$$g\times \frac{14}{5}$$

g ga nisbatan hosilani topish

$$\frac{14}{5} = 2\frac{4}{5} = 2,8$$

Derivativ ifodasidan foydalanish qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{12}{5} ni \frac{7}{4} ga ko‘paytiring.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{g\times \frac{12\times 7}{5\times 4}}{\frac{3}{2}})$$

\frac{12\times 7}{5\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{g\times \frac{84}{20}}{\frac{3}{2}})$$

\frac{84}{20} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{g\times \frac{21}{5}}{\frac{3}{2}})$$

g\times \frac{21}{5} ni \frac{3}{2} ga bo'lish g\times \frac{21}{5} ga k'paytirish \frac{3}{2} ga qaytarish.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{g\times \frac{21}{5}\times 2}{3})$$

\frac{21}{5}\times 2 ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{g\times \frac{21\times 2}{5}}{3})$$

42 hosil qilish uchun 21 va 2 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{g\times \frac{42}{5}}{3})$$

g\times \frac{14}{5} ni olish uchun g\times \frac{42}{5} ni 3 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}g}(g\times \frac{14}{5})$$

ax^{n} hosilasi – nax^{n-1}.

$$\frac{14}{5}g^{1-1}$$

1 dan 1 ni ayirish.

$$\frac{14}{5}g^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$\frac{14}{5}\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$\frac{14}{5}$$