Question

hi

let F is a real valued function and A is a point in its domain of defination then the derivatives of F at A is defined by
Right answer will marked as brainiest and I will follow ​

Answer 1

Answer:

f is a real valued differential function. So,

lim

h→0

∣f(x+h)−f(x)∣≤(x+h−x)

2

⇒lim

h→0

∣f(x+h)−f(x)∣≤∣h∣

2

⇒lim

h→0

∣

∣

∣

∣

∣

∣

h

f(x+h)−f(x)

∣

∣

∣

∣

∣

∣

≤0⇒f

′

(x)=0

⇒f(x) is constant function

∵f(0)=0⟹f(1)=0

Hence, option C is correct.