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x ga nisbatan hosilani topish
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\left(\sqrt{x}\right)^{2}-\left(\sqrt{7}\right)^{2}
Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
x-\left(\sqrt{7}\right)^{2}
2 daraja ko‘rsatkichini \sqrt{x} ga hisoblang va x ni qiymatni oling.
x-7
\sqrt{7} kvadrati – 7.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(\sqrt{x}\right)^{2}-\left(\sqrt{7}\right)^{2})
Hisoblang: \left(\sqrt{x}-\sqrt{7}\right)\left(\sqrt{x}+\sqrt{7}\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(\sqrt{7}\right)^{2})
2 daraja ko‘rsatkichini \sqrt{x} ga hisoblang va x ni qiymatni oling.
\frac{\mathrm{d}}{\mathrm{d}x}(x-7)
\sqrt{7} kvadrati – 7.
x^{1-1}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
x^{0}
1 dan 1 ni ayirish.
1
Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.