- #1
Spiralshell
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Homework Statement
So I'm doing problems where I have to verify Rolle's hypotheses. I am only having trouble with the differentiability part. My professor wants me to prove this. So for example,
f(x)=√(x)-(1/3)x [0,9]
Homework Equations
none
The Attempt at a Solution
1.) I know the function is continuous because root functions are continuous on their domains and polynomials are continuous everywhere therefore the difference of two continuous functions is continuous.
2.) What could I say about it being differentiable?
My GUESS: it is defined everywhere on its domain [0,9] and continuous it is therefore differentiable on its domain [0,9]?
I am only stuck on 2.) so no need to go further on the problem.