If \( f(x)=\int_{x^{m}}^{x^{n}} \frac{d t}{\ln t}, x0 \) and \( nm \), then
(a) \( f^{\prime}(x)...
If \( f(x)=\int_{x^{m}}^{x^{n}} \frac{d t}{\ln t}, x0 \) and \( nm \), then
(a) \( f^{\prime}(x)=\frac{x^{m-1}(x-1)}{\ln x} \)
(b) \( f(x) \) is decreasing for \( x1 \)
(c) \( f(x) \) is increasing in \( (0,1) \)
(d) \( f(x) \) is increasing for \( x1 \)
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