Which of the following statement is correct
2009
Which of the following statement is correct
- A.
△(UkVk) = Uk△Vk + Vk△Uk
- B.
△(UkVk) = Uk+1△Vk + Vk+1△Uk
- C.
△UkVk) = Vk+1△Uk + Uk△Vk
- D.
△(UkVk) = Uk+1△Vk + Vk△Uk
Attempted by 12 students.
Show answer & explanation
Correct answer: C
The finite difference product rule states that the difference of a product Δ(U_k V_k) can be expanded as U_{k+1}ΔV_k + V_kΔU_k. Alternatively, it can be expressed as U_kΔV_k + V_{k+1}ΔU_k. Both forms are valid identities in finite difference calculus.