SOLUTION: Can we apply role's theorem in the interval [-2, 2] for following functions: f(x) = 4.x^4 and g(x) = πx?

Question 1184172: Can we apply role's theorem in the interval [-2, 2] for following functions:
f(x) = 4.x^4 and g(x) = πx?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Rolle’s Theorem - Let be continuous on the closed interval [, ] and differentiable on the interval [, ].
If then there is at least one number in [, ] such that ' .

in the interval [,]

check:
if continuous on [,]
if differentiable on [,]
if

The function is continuous and differentiable on [,].

=>
=> role's theorem can be applied
'
' gives =>

and

is continuous and differentiable on [, ]

'
=> since , role's theorem cannot be applied

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