f(x+h)-f(x)/h=2x+h eching

$$\frac { f ( x + h ) - f ( x ) } { h } = 2 x + h$$

f uchun yechish

$$f=2x+h$$

$$h\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini h ga ko'paytirish.

$$f\left(x+h\right)-fx=2xh+hh$$

h^{2} hosil qilish uchun h va h ni ko'paytirish.

$$f\left(x+h\right)-fx=2xh+h^{2}$$

f ga x+h ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$fx+fh-fx=2xh+h^{2}$$

0 ni olish uchun fx va -fx ni birlashtirish.

$$fh=2xh+h^{2}$$

Tenglama standart shaklda.

$$hf=2hx+h^{2}$$

Ikki tarafini h ga bo‘ling.

$$\frac{hf}{h}=\frac{h\left(2x+h\right)}{h}$$

h ga bo'lish h ga ko'paytirishni bekor qiladi.

$$f=\frac{h\left(2x+h\right)}{h}$$

h\left(2x+h\right) ni h ga bo'lish.

$$f=2x+h$$

h uchun yechish

$$h=f-2x$$

$$f\neq 2x$$