Given f(x) = 10 - 16/x, find all c in the interval [2,8] that satisfy the mean value theorem

Step-by-step explanation:

By defintion, the mean value theorem is

So, in this case, we know that and .

Now, we need to find and , by replacing those values into the given function

So, .

So,

Then, we replace all values,

Now, we find the derivative of the function which has to be equal to one,

Now, we solve the equation to find the value c,

Therefore, is the value inside the given interval that satisfy the mean value theorem.

maybe - definition of supplementary angles. im not sure. sorry

step-by-step explanation: