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Let f(X) = tan^-1 g(x), where g (x) is m...

Let `f(X) = tan^-1 g(x)`, where g (x) is monotonically increasing for 0

A

increasing on `(0,pi/2)`

B

decreasing on `(0,pi/2)`

C

increasing on `(0,pi/4)` and decreasing on `(pi/4, pi/2)`

D

none of these

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
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  4. The tangent to the curve y=e^(2x) at the point (0, 1) meets x-axis at ...

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  14. The two curves x^3 - 3x y^2 + 2 = 0 and 3x^2y - y^3 - 2 = 0 intersect ...

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  15. The function f(x) = loge(x^3 + sqrt(x^6 +1)) is

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  16. Let f(X) = tan^-1 g(x), where g (x) is monotonically increasing for 0<...

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  17. Function f(X) = cos x - 2 lambdax is monotonic decreasing when

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  18. Let g(x)=2f(x/2)+f(2-x) and f''(x) < 0 AA x in (0,2). If g(x) increa...

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  19. f(x) = logAx is increasing on R, if

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  20. The function f(x) = a^x is strict decreasing on R, If

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