JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Analyzing +4 | -1

y = {\tan ^{ - 1}}\left( {\frac{{\sqrt x - x}}{{1 + {x^{3/2}}}}} \right),

then

y'\left( 1 \right)

is equal to

View answer and explanation

Correct option: D

- \frac{1}{4}

Option D (

- \frac{1}{4}

) is correct because after simplifying the expression using inverse trigonometric properties and then differentiating, y'(1) equals

-\frac{1}{4}

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