differentiable on  (-infinity, infinity) and that for each number x, |f'(x)|  <= to 1. Use the Mean Value Theorem (MVT) to show that f(1) - 2 <= f(3) <= f(1) +2. Remember to state clearly why you can apply the MVT

Q: But the Mean Value Theorem only applies if the function is continuous AND differentiable.  Not…

A: For Mean value theorem, function should be differentiable on open interval (a,b) and continuous on…

Q: is there an easy way to determine what function, on a graph is f, f' , and f''

A: I have given an answer in step 2.

Q: A continuous function has a derivative at every point in a given interval. True or False?

A: function is differentiable means that function is continuous as well as smooth at every point of…

Q: If I have a continuous, smooth (no sharp points) function with 3 local maxima and 2 local minima,…

A: Since the function is continuous , with 3 local maxima and 2 local minima.the function will have 5…

Q: On which interval/s (if any) the Mean Value Theorem applies for f(x)=√(x^2-4)

A:

Q: For the function, find the number in the given interval which satisfies the conclusion of the Mean…

A:

Q: Find all extreme value (if any) of f(x)=3x^½ + x, on the interval [-1/27, 1/27]

A:

Q: Suppose f'(x) < 2 for all x 2 2, and f (2) = 7. Show that f(4) < 11.

A: Given that f'x &lt;2 for all x≥2 and f2=7.We need to show that f4&lt;11.