a uchun yechish
\left\{\begin{matrix}a=\frac{1}{x}\text{, }&x\neq -\frac{1}{2}\text{ and }x\neq 0\\a\in \mathrm{R}\text{, }&x=-\frac{1}{2}\end{matrix}\right,
f uchun yechish
f\in \mathrm{R}
x=-\frac{1}{2}\text{ or }\left(x=\frac{1}{a}\text{ and }a\neq 0\right)
Baham ko'rish
Klipbordga nusxa olish
\frac{\mathrm{d}}{\mathrm{d}x}(f)xx=1-2axx+x\times 2-ax
Tenglamaning ikkala tarafini x ga ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(f)x^{2}=1-2axx+x\times 2-ax
x^{2} hosil qilish uchun x va x ni ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(f)x^{2}=1-2ax^{2}+x\times 2-ax
x^{2} hosil qilish uchun x va x ni ko'paytirish.
1-2ax^{2}+x\times 2-ax=\frac{\mathrm{d}}{\mathrm{d}x}(f)x^{2}
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
-2ax^{2}+x\times 2-ax=\frac{\mathrm{d}}{\mathrm{d}x}(f)x^{2}-1
Ikkala tarafdan 1 ni ayirish.
-2ax^{2}-ax=\frac{\mathrm{d}}{\mathrm{d}x}(f)x^{2}-1-x\times 2
Ikkala tarafdan x\times 2 ni ayirish.
-2ax^{2}-ax=\frac{\mathrm{d}}{\mathrm{d}x}(f)x^{2}-1-2x
-2 hosil qilish uchun -1 va 2 ni ko'paytirish.
\left(-2x^{2}-x\right)a=\frac{\mathrm{d}}{\mathrm{d}x}(f)x^{2}-1-2x
a'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(-2x^{2}-x\right)a=-2x-1
Tenglama standart shaklda.
\frac{\left(-2x^{2}-x\right)a}{-2x^{2}-x}=\frac{-2x-1}{-2x^{2}-x}
Ikki tarafini -2x^{2}-x ga bo‘ling.
a=\frac{-2x-1}{-2x^{2}-x}
-2x^{2}-x ga bo'lish -2x^{2}-x ga ko'paytirishni bekor qiladi.
a=\frac{1}{x}
-1-2x ni -2x^{2}-x ga bo'lish.
Misollar
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