If `f(x)=x.|x|`, then its derivative is :

If f(x)=xdot|x|, then its derivative is : (a) 2x (b) -2x (c) 2|x| (d) 2x\ sgn\ x

If f(x)= Sin^(2)x , then derivative of f(x) is.

Suppose that function f(x) - f(2x) has the derivative 5 at x = 1 and derivative 7 at x = 2 . The derivative of the function f(x) -f( 4x) at x = 1 has the value equal to

If f(x) = (1)/(cos xsqrt(1-tan x)) then its anti-derivative F(x) satisfying F(0) = 4 is:

If f(x) = (1)/(cos^2xsqrt(1-tan x)) then its anti-derivative F(x) satisfying F(0) = 4 is:

Let f (x) = |x-2| and g (x) = f (f (x)). Then derivative of g at the point x =5 is