Question

find all values of c which may exist that satisfy the conclusion of the mean value theorem for derivatives, given f(x)=x^(2/3) over the interval [-1,8]

Answer 1

This is a very simple equation, you must first use the theorem for derivatives, do you remember what that is?

Answer 2

yes! you multiply exponent to the coefficient and subtract one right?

Answer 3

that is correct! Now how would that set up for this equation?

Answer 4

um 2/3x^(-1/3) ?

Answer 5

good job! for this equation you are trying to find the values of c, and to do this you have to use the girth theorem, do you remember that?

Answer 6

that's wrong.