s/100+s*a/a+4a*100% eching

$$\frac { \frac { s } { 100 + s } \times a } { a + 4 a } \times 100 \%$$

Baholash

$$\frac{s}{5\left(s+100\right)}$$

Qisqa yechim qadamlari

1 ni olish uchun 100 ni 100 ga bo‘ling.

$$\frac{\frac{s}{100+s}a}{a+4a}\times 1$$

\frac{s}{100+s}a ni yagona kasrga aylantiring.

$$\frac{\frac{sa}{100+s}}{a+4a}\times 1$$

5a ni olish uchun a va 4a ni birlashtirish.

$$\frac{\frac{sa}{100+s}}{5a}\times 1$$

\frac{\frac{sa}{100+s}}{5a} ni yagona kasrga aylantiring.

$$\frac{sa}{\left(100+s\right)\times 5a}\times 1$$

Surat va maxrajdagi ikkala a ni qisqartiring.

$$\frac{s}{5\left(s+100\right)}\times 1$$

\frac{s}{5\left(s+100\right)}\times 1 ni yagona kasrga aylantiring.

$$\frac{s}{5\left(s+100\right)}$$

5 ga s+100 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{s}{5s+500}$$

s ga nisbatan hosilani topish

$$\frac{20}{\left(s+100\right)^{2}}$$

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

1 ni olish uchun 100 ni 100 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}s}(\frac{\frac{s}{100+s}a}{a+4a}\times 1)$$

\frac{s}{100+s}a ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}s}(\frac{\frac{sa}{100+s}}{a+4a}\times 1)$$

5a ni olish uchun a va 4a ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}s}(\frac{\frac{sa}{100+s}}{5a}\times 1)$$

\frac{\frac{sa}{100+s}}{5a} ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}s}(\frac{sa}{\left(100+s\right)\times 5a}\times 1)$$

Surat va maxrajdagi ikkala a ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}s}(\frac{s}{5\left(s+100\right)}\times 1)$$

\frac{s}{5\left(s+100\right)}\times 1 ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}s}(\frac{s}{5\left(s+100\right)})$$

5 ga s+100 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\mathrm{d}}{\mathrm{d}s}(\frac{s}{5s+500})$$

Har qanday ikki differensial funksiya uchun ikki funksiyaning koeffitsient hosilasi raqamlagichning hosila marotabasi maxraj minusi va barchasi kvadrat maxrajiga bo'lingan.

$$\frac{\left(5s^{1}+500\right)\frac{\mathrm{d}}{\mathrm{d}s}(s^{1})-s^{1}\frac{\mathrm{d}}{\mathrm{d}s}(5s^{1}+500)}{\left(5s^{1}+500\right)^{2}}$$

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

$$\frac{\left(5s^{1}+500\right)s^{1-1}-s^{1}\times 5s^{1-1}}{\left(5s^{1}+500\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{\left(5s^{1}+500\right)s^{0}-s^{1}\times 5s^{0}}{\left(5s^{1}+500\right)^{2}}$$

Distributiv xususiyatdan foydalanib kengaytirish.

$$\frac{5s^{1}s^{0}+500s^{0}-s^{1}\times 5s^{0}}{\left(5s^{1}+500\right)^{2}}$$

Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.

$$\frac{5s^{1}+500s^{0}-5s^{1}}{\left(5s^{1}+500\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{\left(5-5\right)s^{1}+500s^{0}}{\left(5s^{1}+500\right)^{2}}$$

5 dan 5 ni ayirish.

$$\frac{500s^{0}}{\left(5s^{1}+500\right)^{2}}$$

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

$$\frac{500s^{0}}{\left(5s+500\right)^{2}}$$

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

$$\frac{500\times 1}{\left(5s+500\right)^{2}}$$

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

$$\frac{500}{\left(5s+500\right)^{2}}$$