7. 2 rot (x) 8. cos (VR) 9. Prove that the function f (x) = x - 11, YE R, is not differentiable at x = 1. II II's function at fr = rl.0 << 3, x = 1 and x = 2

Prove that the function f given by f(x) = |x-1|, x in R, x=1 is not differentiable at x = 1.

The function f:R rarr R, f(x)=x^(2) is

The function f:R rarr R, f(x)=x^(2) is

Prove that the function f:R rarr R given by f(x)=2x is one-one and onto.

Prove that the function f:R - {-1} to R -{1} , defined by f(x)=(x)/(x+1) is invertible.

A function f:R rarr R satisfies that equation f(x+y)=f(x)f(y) for all x,y in R ,f(x)!=0. suppose that the function f(x) is differentiable at x=0 and f'(0)=2. Prove that f'(x)=2f(x)

Function f:R rarr R,f(x)=x|x| is

A function f:R rarr R satisfies the equation f(x+y)=f(x)f(y) for all x,y in R.f(x)!=0 Suppose that the function is differentiable at x=0 and f'(0)=2. Prove that f'(x)=2f(x)

Show that the function f:R rarr R given by f(x)=cos x function f:R, is neither one-one nor onto.

Let f:R to R be the function defined by f(x) = (1)/(2-cos x), AA x in R. Then, find the range fo f .