" 3.Show that a constant function is always differentiable."

show that the constant function is always differentiable .

Assertion (A) : A continuous function is always differentiable. Reason (R ) : A differentiable function is always continuous.

Which of the following is not true? (A) A polynomial function is always continuous (B) A continuous function is always differentiable (C) A differentiable function is always continuous (D) None of these

the addition of differentiable and non- differentiable functions is always non- differentiable.

The derivative of a non constant even function is always an odd function.

Show that, the function f(x) = |x-1| is not differentiable at x = 1

Show that the function f(x)=x^3/2 is not differentiable at x=0.

Show that the function f(x)=x^(3/2) is not differentiable at x=0.

Theorem : (i)Differentiation of a constant function is 0 (ii) Let f(x) be the differentiable function and let c be a constant.Then cf(x) is also differentiable such that d(cf(x))/(dx)=cd((f(x))/(dx)