Which among the following correctly defines Leibnitz rule of a function given by $ f (α) = \int_a^b (x,α)dx$ where a & b are constants?

Question

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

$f’(α) = \frac{∂}{∂α}\int_a^b f (x,α) dx$

TuteeHUB · Answer

$f’(α) = \frac{d}{dα} \int_a^b f (α) dx$

TuteeHUB · Answer

$f’(α) = \int_a^b \frac{∂}{∂α} f (x,α) dx$

TuteeHUB · Answer

$f’(α) = \int_a^b \frac{d}{dα} f (x,α) dx$

1.	Which among the following correctly defines Leibnitz rule of a function given by \( f (α) = \int_a^b (x,α)dx\) where a & b are constants?
A.	\(f’(α) = \frac{∂}{∂α}\int_a^b f (x,α) dx\)
B.	\(f’(α) = \frac{d}{dα} \int_a^b f (α) dx\)
C.	\(f’(α) = \int_a^b \frac{∂}{∂α} f (x,α) dx\)
D.	\(f’(α) = \int_a^b \frac{d}{dα} f (x,α) dx\)
Answer» D.

Which among the following correctly defines Leibnitz rule of a function given by \( f (α) = \int_a^b (x,α)dx\) where a & b are constants?