1.1-bo'lim : Ko'rib chiqish: Funktsiyalar
5. The farq koeffitsienti \(f\left( x \right)\) funksiyasi quyidagicha aniqlanadi:
\[\frac{{f\left( {x + h} \right) - f\left( x \right)}}{h}\]\(f\left( x \right) = 4x - 9\) uchun farq koeffitsientini hisoblang.
Maslahat: \(f\left( {x + h} \right)\) ni hisoblang, so'ngra suratni hisoblang va nihoyat farq koeffitsientini hisoblang.
Yechim
\[f\left( {x + h} \right) = 4\left( {x + h} \right) - 9 = 4x + 4h - 9\]
2-qadam
\[f\left( {x + h} \right) - f\left( x \right) = 4x + 4h - 9 - \left( {4x - 9} \right) = 4h\]
3-qadam
\[\frac{{f\left( {x + h} \right) - f\left( x \right)}}{h} = \frac{{4h}}{h} = 4\]