Short Answer Type
Show that f (x) = tan -1 (sin x + cos x) is a strictly increasing function in the interval 
 and strictly decreasing in  
Prove that the function f given by f(x) = log cos x is strictly decreasing on 
 and strictly increasing on 
   (iv) 
Find the value of a for which the function f (x) = x3 – 2ax + 6 is increasing for x > 0.
 is increasing or decreasing for 
 is an increasing function of x throughout its domain.
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