Question

Let  be twice differentiable on an open interval. If  for every value of  in the open interval, then  is concave...

Let  be twice differentiable on an open interval. If  for every value of  in the open interval, then  is concave down on that interval.

true/false

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let I be an interval. Prove that if f is differentiable on I and if the...
Let I be an interval. Prove that if f is differentiable on I and if the derrivative f' be bounded on I then f uniformly continued on I!
1. Let ?(?)=−?4−4?3+8?−1. Find the open intervals on which ? is concave up (down). Then determine...
1. Let ?(?)=−?4−4?3+8?−1. Find the open intervals on which ? is concave up (down). Then determine the ?-coordinates of all inflection points of ?. 2. Find the x-values of all inflection points for the graph ?(?)=2?4+18?3−30?2+15f(x)=2x4+18x3−30x2+15. (Give your answers as a comma separated list, e.g., 3,-2.) 3. Let f(x)=1/4x2+7. Find the open intervals on which ?f is concave up (down). Then determine the ?x-coordinates of all inflection points of ?. 4. Let ?(?)=6?−3/?+4 Find the open intervals on which ?f...
1) Let f(x)=−x^3−12x^2−45x+2 a) Find the open interval(s) where the following function is concave upward or...
1) Let f(x)=−x^3−12x^2−45x+2 a) Find the open interval(s) where the following function is concave upward or concave downward. b)Find any inflection point(s). c) Find absolute maximum and minimum values on [-5,5]. 2) A fence must be built to enclose a rectangular area of 20,000 square feet. Fencing material costs $ 2.50 per foot for the two sides facing north and south and $3.20 per foot for the other two sides. Find the cost of the least expensive fence.
Derivative of a function is x2 + x - 2. a) At which open interval is...
Derivative of a function is x2 + x - 2. a) At which open interval is the function increasing? b) At which open interval is the function concave down? c) What are the critical numbers of the function? At these critical numbers, does the function have a maximum or minimum?
Determine the open intervals on which the graph is concave upward or concave downward. (Enter your...
Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) y = 3x + 2 sin x ,    (−π, π)
let f(x)= √x ln(x). find the interval on which f is concave upward.  
let f(x)= √x ln(x). find the interval on which f is concave upward.  
Determine the open intervals on which the graph is concave upward or concave downward. (Enter your...
Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) f(x) = x^2+2 / x^2 - 4
1. Suppose that ?(?) is differentiable on the interval [1,6] and that ?(1)=1 and ?(6)=6. a....
1. Suppose that ?(?) is differentiable on the interval [1,6] and that ?(1)=1 and ?(6)=6. a. [5] Sketch a possible graph of ? and the Mean Value Theorem applied to ? on the interval [1,6], including the relevant secant and tangent lines. This should look as is done in the textbook Ch 3.2, and as we did in lecture/recitation. b. [5] State the conclusion of the MVT about the function ? on the interval [1,6]. c. [3] Now suppose that...
1, Let f be a function such that f′′(x) =x(x+ 1)(x−2)^2. Find the open intervals on...
1, Let f be a function such that f′′(x) =x(x+ 1)(x−2)^2. Find the open intervals on which is concave up/down. 2. An inflection point is an x-value at which the concavity of a function changes. For example, if f is concave up to the left of x=c and f is concave down to the right of x=c, then x=c is an inflection point. Find all inflection points in the function from Problem 1.
Let f(x) = 3x^5/5 −2x^4+1 Find the following -Interval of increasing -Interval of decreasing -Local maximum(s)...
Let f(x) = 3x^5/5 −2x^4+1 Find the following -Interval of increasing -Interval of decreasing -Local maximum(s) at x = -Local minimum(s) at x = -Interval of concave up -Interval of concave down -Inflection point(s) at x =