If f(x)=\sin (\cos ^{-1}( {1-2^{2 x}}/{1+2^{2 x}})) and its first derivative with respect to x is -\frac{b}{a} \log _{e} 2 when x=1, where a and b are integers, then the minimum value of |a^{2}-b^{2}| is ......... . [17 Mar 2021 Shift 1]

Differentiation

Section: Mathematics

Question : 45 of 78

Marks: +1, -0

If f(x)=sin(cos−1(‌

1−22x

1+22x

)) and its first derivative with respect to x is −‌

loge2 when x=1, where a and b are integers, then the minimum value of |a2−b2| is ......... .

[17 Mar 2021 Shift 1]

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