Baholash
\frac{5x}{4}
x ga nisbatan hosilani topish
\frac{5}{4} = 1\frac{1}{4} = 1,25
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{4\times 2x}{12}+\frac{3\times 3x}{12}-\frac{x}{6}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 va 4 ning eng kichik umumiy karralisi 12. \frac{2x}{3} ni \frac{4}{4} marotabaga ko'paytirish. \frac{3x}{4} ni \frac{3}{3} marotabaga ko'paytirish.
\frac{4\times 2x+3\times 3x}{12}-\frac{x}{6}
\frac{4\times 2x}{12} va \frac{3\times 3x}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{8x+9x}{12}-\frac{x}{6}
4\times 2x+3\times 3x ichidagi ko‘paytirishlarni bajaring.
\frac{17x}{12}-\frac{x}{6}
8x+9x kabi iboralarga o‘xshab birlashtiring.
\frac{17x}{12}-\frac{2x}{12}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 12 va 6 ning eng kichik umumiy karralisi 12. \frac{x}{6} ni \frac{2}{2} marotabaga ko'paytirish.
\frac{17x-2x}{12}
\frac{17x}{12} va \frac{2x}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{15x}{12}
17x-2x kabi iboralarga o‘xshab birlashtiring.
\frac{5}{4}x
\frac{5}{4}x ni olish uchun 15x ni 12 ga bo‘ling.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4\times 2x}{12}+\frac{3\times 3x}{12}-\frac{x}{6})
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 va 4 ning eng kichik umumiy karralisi 12. \frac{2x}{3} ni \frac{4}{4} marotabaga ko'paytirish. \frac{3x}{4} ni \frac{3}{3} marotabaga ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4\times 2x+3\times 3x}{12}-\frac{x}{6})
\frac{4\times 2x}{12} va \frac{3\times 3x}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8x+9x}{12}-\frac{x}{6})
4\times 2x+3\times 3x ichidagi ko‘paytirishlarni bajaring.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{17x}{12}-\frac{x}{6})
8x+9x kabi iboralarga o‘xshab birlashtiring.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{17x}{12}-\frac{2x}{12})
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 12 va 6 ning eng kichik umumiy karralisi 12. \frac{x}{6} ni \frac{2}{2} marotabaga ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{17x-2x}{12})
\frac{17x}{12} va \frac{2x}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{15x}{12})
17x-2x kabi iboralarga o‘xshab birlashtiring.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{4}x)
\frac{5}{4}x ni olish uchun 15x ni 12 ga bo‘ling.
\frac{5}{4}x^{1-1}
ax^{n} hosilasi – nax^{n-1}.
\frac{5}{4}x^{0}
1 dan 1 ni ayirish.
\frac{5}{4}\times 1
Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.
\frac{5}{4}
Har qanday t sharti uchun t\times 1=t va 1t=t.
Misollar
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4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
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Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}