Question

Differentiation of a function implies
(a) existence of limit
(b)integrality
(c) continuity
(d)all a,b and c​

Answer 1

Answer:

integrality of a function implies

Answer 2

Step-by-step explanation:

a) Let f:R↦R be continuous. ... Suppose f is differentiable away from 0 and limx→0f′(x) exists.

b) To recap, the integral is the function that defines the area under a curve for any given interval. Taking the integral of the derivative of the function will yield the original function. The integral can also tell us the position of an object at any point in time given at least two points of velocity of an object.

c) We see that if a function is differentiable at a point, then it must be continuous at that point. There are connections between continuity and differentiability. Differentiability Implies Continuity If is a differentiable function at , then is continuous at . ... If is not continuous at , then is not differentiable at