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For w=et−tet+tw = \frac{e^{t} - t}{e^{t} + t}w=et+tet−t, the value of dwdt\frac{dw}{dt}dtdw is
(A) 2et(t2+1)(et−t2)2\frac{2e^{t}(t^{2} + 1)}{(e^{t} - t^{2})^{2}}(et−t2)22et(t2+1)
(B) 2et(t−1)(et+t)2\frac{2e^{t}(t - 1)}{(e^{t} + t)^{2}}(et+t)22et(t−1)
(C) 2et(t2−1)(et+t2)2\frac{2e^{t}(t^{2} - 1)}{(e^{t} + t^{2})^{2}}(et+t2)22et(t2−1)
(D) 2et(t+1)(et−t)2\frac{2e^{t}(t + 1)}{(e^{t} - t)^{2}}(et−t)22et(t+1)
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