JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Analyzing +4 | -1

y = \frac{x}{{a + \frac{x}{{b + \frac{x}{{a + \frac{x}{{b + .....\infty }}}}}}}},

then

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

equals

View answer and explanation

Correct option: D

\frac{b}{{ab + 2ay}}

Option D (

\frac{b}{{ab + 2ay}}

) is correct because it is the derivative of y with respect to x after substituting the continued fraction.

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