How do I differentiate <mi mathvariant="normal">&#x2202;<!-- ∂ --> <mi mathvarian

istupilo8k

istupilo8k

Answered question

2022-05-26

How do I differentiate x 0 x f ( x , y ) d y

Answer & Explanation

Samuel Vang

Samuel Vang

Beginner2022-05-27Added 12 answers

You use the Liebniz integral rule:
d d x ( a ( x ) b ( x ) f ( x , t ) d t ) = f ( x , b ( x ) ) d d x b ( x ) f ( x , a ( x ) ) d d x a ( x ) + a ( x ) b ( x ) x f ( x , t ) d t
In your case, b ( x ) = x, a ( x ) = 0, and y is playing the role of t.

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