(t/4)(t) eching

$$( \frac { t } { 4 } ) ( t )$$

Baholash

$$\frac{t^{2}}{4}$$

Yechim qadamlari

\frac{t}{4}t ni yagona kasrga aylantiring.

$$\frac{tt}{4}$$

t^{2} hosil qilish uchun t va t ni ko'paytirish.

$$\frac{t^{2}}{4}$$

t ga nisbatan hosilani topish

$$\frac{t}{2}$$

Koʻpaytma uchun derivativ qoidasidan foydalanish qadamlari

Har qanday ikki differensial funksiya uchun, ikki funksiya koʻpaytmasining hosilasi birinchi funksiya marotabasi, ikkinchi plyus hosilasi ikkinchi funksiya marotabasi birinchining hosilasidir.

$$\frac{1}{4}t^{1}\frac{\mathrm{d}}{\mathrm{d}t}(t^{1})+t^{1}\frac{\mathrm{d}}{\mathrm{d}t}(\frac{1}{4}t^{1})$$

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

$$\frac{1}{4}t^{1}t^{1-1}+t^{1}\times \frac{1}{4}t^{1-1}$$

Qisqartirish.

$$\frac{1}{4}t^{1}t^{0}+t^{1}\times \frac{1}{4}t^{0}$$

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

$$\frac{1}{4}t^{1}+\frac{1}{4}t^{1}$$

O'xshash hadlarni birlashtirish.

$$\frac{1+1}{4}t^{1}$$

Umumiy maxrajni topib va hisoblovchini qo'shish orqali \frac{1}{4} ni \frac{1}{4} ga qo'shing. So'ngra agar imkoni bo'lsa kasrni eng kam shartga qisqartiring.

$$\frac{1}{2}t^{1}$$

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

$$\frac{1}{2}t$$