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Differentiation question

2021 · 17 Mar · Shift 1 · Q41

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JEE Main
Mathematics
Differentiation
2021 · 17 Mar · Shift 1 · Q41

Differentiation question

2021 · 17 Mar · Shift 1 · Q41

JEE MainMathematicsDifferentiationNumerical+4 / −1

If

f(x) = \sin \left( {{{\cos }^{ - 1}}\left( {{{1 - {2^{2x}}} \over {1 + {2^{2x}}}}} \right)} \right)

and its first derivative with respect to x is

- {b \over a}{\log _e}2

when x = 1, where a and b are integers, then the minimum value of | a2

-

b2 | is

\underline{\hspace{2cm}}

.

Numerical answer

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