Q3 of 48 Page 364

Show that constant function is always differentiable

Let a be any constant number.


Then, f(x) = a



We know that coefficient of a linear function is



Since our function is constant, y1 = y2


Therefore, a = 0


Now,



Thus, the derivative of a constant function is always 0.


More from this chapter

All 48 →
1

Show that ƒ(x) = x3 is continuous as well as differentiable at x=3.

 2

Show that ƒ(x) = (x-1)1/3 is not differentiable at x=1.

 4

Show that ƒ(x) = |x-5| is continuous but not differentiable at x=5

 5

Let ƒ(x) =

Show that ƒ(x) is continuous but not differentiable at x=1