The points at which the function, f(x)=|x-0.5|+|x-1|+tanx does not have a derivative in the interval (0,2) are

The number of points at which the function f(x) = |x -0.5| + |x-1| + tan x does not have a derivative in interval (0, 2) is

Find the number of points where the function f(x)=max|tanx|,cos|x|) is non-differentiable in the interval (-pi,pi) .

The function f(x)=(x)/(1+x tanx )

The interval in which the function f(x)=sin x+cos x in x in[0,2 pi] is

The function f(x)=x+(1)/(x)(x!=0) is a non- increasing function in the interval

Let f:Rvec 0,1 be a continuous function.Then, which of the following function (s) has (have) the value zero at some point in the interval (0,1)?e^(x)-int_(0)^(x)f(t)sin tdt(b)f(x)+int_(0)^((pi)/(2))f(t)sin tdt(c)x-int_(0)^((pi)/(2)-x)f(t)cos tdt(d)x^(9)-f(x)

Wht is the interval over which the function f(x)=6x-x^(2),x gt 0 is increasing ?

Verify Rolle's Theorem for the functions : f(x)=tanx , defined in the interval [0,pi] .