Whether the statement, if f is differentiable and then there is a number c such that and is true or false.
The given statement is true.
The function f is a continuous function as f is differentiable function.
Also it is given that, .
So, the local maximum or a local minimum occurs between x = −1 and x = 1.
There must be a point c such that, at the point c the value of the derivative is zero.
That is there exist a point c such that, and .
Therefore, the given statement is true.
Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!