If \( f(x)=\left\{\begin{array}{ll}\frac{\tan \left[x^{2}\right] \p...

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If \( f(x)=\left\{\begin{array}{ll}\frac{\tan \left[x^{2}\right] \pi}{a x^{2}}+a x^{3}+b, & 0x \leq 1 \\ 2 \cos \pi x+\tan ^{-1} x, & 1x \leq 2\end{array}\right. \) is differentiable in \( x \in(0,2] \). Then \( a=\frac{1}{k} \)
\( \mathrm{P} \)
W and \( b=\frac{\pi}{4}-\frac{26}{k_{2}} \). Then find the value of \( \left(k_{2}-k_{1}\right) \).
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