Find the value(s) of c guaranteed by rolle's theorem for f(x) = x sinx on the interval
[-3,3]. i found the derivatives but i dont understand how to fibd the zeros

The value of c is 0,-2.194 and 2.194 in the interval (-3,3).

Step-by-step explanation:

To find the value of c for a given function using Rolle's Theorem we have to find the first derivative of the function and then equate it to zero.

These solutions of x are the values of c.

f(x) = x sin(x)

= xcosx + sinx

xcosx + sinx = 0

x = -tanx

Using the graphical method we can see that 0,-2.194 and 2.194 is a solution of the equation.There are infinitely many solutions but in the interval (-3,3) there is only 3 solution.

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.

your question is incomplete, write all the numbers in the sequence that it tells you.  

step-by-step explanation: