JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Analyzing +4 | -1

y = \frac{{(a - x)\sqrt {a - x} - (b - x)\sqrt {x - b} }}{{\sqrt {a - x} + \sqrt {x - b} }}

, then find

\frac{{dy}}{{dx}}

whenever defined.

View answer and explanation

Correct option: C

\frac{{2x - (a + b)}}{{2\sqrt {(a - x)(x - b)} }}

Option C (

\frac{{2x - (a + b)}}{{2\sqrt {(a - x)(x - b)} }}

) is correct because it is the derivative of the given function after simplification.

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