1.

Which among the following correctly defines Leibnitz rule of a function given by

A. \( f (α) = \int_a^b (x,α)dx\) where a & b are functions of α?
B. \(f’(α) = \int_a^b \frac{∂}{∂α} f(x,α) dx\)
C. \(f’(α) = \frac{d}{dα} \int_a^b f(x,α) dx\)
D. \(f’(α) = \int_a^b \frac{∂}{∂α} f (x,α) dx + f(b, α) \frac{da}{dα} – f(a, α) \frac{db}{dα}\)
E. \(f’(α) = \int_a^b \frac{∂}{∂α} f (x,α) dx + f(b, α) \frac{db}{dα} – f(a, α) \frac{da}{dα}\)
Answer» E.


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