Let `f(x)=log(2x-x^2)+sin((pix)/2)dot` Then which of the following is/are true? `(a)`Graph of `f` is symmetrical about the line `x=1` (b) Maximum value of `f` is1. (c) Absolute minimum value of `f` does not exist. (d) none of these

If the graph of y=f(x) is symmetrical about the lines x=1a n dx=2, then which of the following is true? (a) f(x+1)=f(x) (b) f(x+3)=f(x) (c) f(x+2)=f(x) (d) None of these

It the graph of the function y=f (x) is symmetrical about the line x=2, then which of the following is correct ?

IF f(x)= log(tan(x/2)) , then the value of f'(x) is

Let f:R to R be a function satisfying f(2-x)=f(2+x) and f(20-x)=f(x) AA x in R. For this function f , answer the following. The graph of y= f(x) is not symmetrial about (a) symmetrical about x=2 (b) symmetrical about x=10 (c) symmetrical about x=8 (d) None of these

Find the absolute maximum value and the absolute minimum value of the functions in the given intervals: f(x) = x^(3), x in [– 2, 2]

If f(x)=log("tan"(x)/(2)) , then the value of f'(x) is -

The minimum value of f(x)=2x^(2)+x-1 is-

The minimum value of the function f(x)=2|x-1|+|x-2| is

The minimum value of the function f(x)=2|x-1|+|x-2| is -

Let f(x)=cospix+10x+3x^2+x^3,-2lt=xlt=3. The absolute minimum value of f(x) is 0 (b) -15 (c) 3-2pi none of these