Question

f(x)=x^2
With Verification

​

Answer 1

Answer:

f(x)=$x^{2}$

f(1)=1*1=1

Step-by-step explanation:

Answer 2

Answer:

$\huge\fbox\green{verified}$

Given f(x)=x2+2 is continuous in [−2,2] and differentiable in (−2,2)

Also f(a)=f(−2)=(−2)2+2=6

f(b)=f(2)=22+2=6

∴f(a)=f(b)=6

∴ Value of f(x) at x=−2 and 2 coincide

∴ According to Rolle's theorem ∃cϵ(a,b) such that

f1(c)=0

∴f1(x)=2x

⇒f1(c)=2c=0

∴c=0ϵ(−2,2).