3s^5t/3s^5t^7= eching

$$\frac { 3 s ^ { 5 } t } { 3 s ^ { 5 } t ^ { 7 } } =$$

Baholash

$$\frac{1}{t^{6}}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{3^{1}s^{5}t^{1}}{3^{1}s^{5}t^{7}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$3^{1-1}s^{5-5}t^{1-7}$$

1 dan 1 ni ayirish.

$$3^{0}s^{5-5}t^{1-7}$$

Har qanday a raqami uchun (0 bundan mustasno) a^{0}=1.

$$s^{5-5}t^{1-7}$$

5 dan 5 ni ayirish.

$$s^{0}t^{1-7}$$

Har qanday a raqami uchun (0 bundan mustasno) a^{0}=1.

$$t^{1-7}$$

1 dan 7 ni ayirish.

$$s^{0}t^{-6}$$

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

$$1t^{-6}$$

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

$$t^{-6}$$

t ga nisbatan hosilani topish

$$-\frac{6}{t^{7}}$$

Zanjirli qoidadan foydalanish qadamalari

Surat va maxrajdagi ikkala 3ts^{5} ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{1}{t^{6}})$$

Agar F ikki differensial funksiya f\left(u\right) va u=g\left(x\right)'ning yig'indisi bo'lsa, ya'ni agar F\left(x\right)=f\left(g\left(x\right)\right) bo'lsa, F hosilasi f'ning u martalik hosilasi, g'ning x martalik hosilasi ya'ni \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right) bo'ladi.

$$-\left(t^{6}\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}t}(t^{6})$$

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

$$-\left(t^{6}\right)^{-2}\times 6t^{6-1}$$

Qisqartirish.

$$-6t^{5}\left(t^{6}\right)^{-2}$$