Question: Let f (x) be a function whose derivative is Note that f(x) is always positive. Show that the graph of f (x) has an inflection

Let f (x) be a function whose derivative isf'(x) = 1 1+x

Note that f′(x) is always positive. Show that the graph of f (x) has an inflection point at x = 0.

f'(x) = 1 1+x

Step by Step Solution

★★★★★

3.47 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

2x fx so f0 0 Sin... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Applied Calculus Questions!

Q:

Find the domain of the function defined by f(z) = Select one: O a Re(z) = 0 Ob. Re(z) # 0 %3D Im(z) # 0 Od. Im(z) = 0

Q:

Let f (x) be a function whose derivative is Show that the graph of f (x) has an inflection point at x = 0. f'(x) = 5x + 1. 2

Q:

Let f C[a, b] be a function whose derivative exists on (a, b). Suppose f is to be evaluated at x0 in (a, b), but instead of computing the actual value f (x0), the approximate value, (x0), is the...

Q:

Let f () be a differentiable function whose derivative is f' (x) = x2 - x. Which of the following statements are true? Choose all correct answers. Of(x) has a critical point at -1. f(x) has a...

Q:

Let f be a twice-differentiable function with derivative given by f ( x ) = 4 x 3 + 12 x 2 . Part A: Find the x-coordinate of any possible critical points of f . Show your work. Part B: Find the...

Q:

In Exercises 17-22, find the slope of the tangent line to the graph of the function at the given point, and determine an equation of the tangent line.M 17. f(x)=2x+7 at (2, 11) erg griwollot ST YATZ...

Q:

Please help with #5 all parts please a-d (8 points) Let g be a differentiable function whose derivative graph y = g'(x) is s below. (a) Identify the interval(s) on which the original function g is...

Q:

2) (1,-4) Graph of f' Let f b a twice-differentiable function defined on the interval -1.2

Q:

Below is the graph of the derivative f x of a function defined on the interval 0 8 You can click on the graph to see a larger version in a separate window Refer to the graph to answer each of the...

Q:

Anyone know how to do this? Let f be a twice-differentiable function with derivative given by f '(x) = 4x3 + 12x2. Part A: Find the x-coordinate of any possible critical points of 2'. Show your work....

Q:

A telephone communication system is set up at a company where 125 executives are employed. The system is initialized by the president, who calls her four vice presidents. Each vice president then...

Q:

If the joint probability distribution of X and Y is given by f(x, y) = 1/30 (x+ y) for x = 0, 1, 2, 3; y = 0, 1, 2 Construct a table showing the values of the joint distribution function of the two...

Q:

A federal agency recorded the receipt of supplies at an actual cost of $ 5 7 , 0 0 0 . At the time the purchase orders were issued it was estimated the supplies would cost $ 5 6 , 0 0 0 . How would...

Q:

1.3 Explain three communication models.

Q:

(a) Find the present and future value of an income stream of $6000 per year for a period of 10 years if the interest rate, compounded continuously, is 5%. (b) How much of the future value is from the...

Q:

Which of (I)(V) are antiderivatives of f(x) = 2 sin x cos x? I. 2 sin x cos x II. 2 cos 2 x 2 sin 2 x III. sin 2 x IV. cos 2 x V. 2 sin 2 x + cos 2 x

Q:

Sketch possible supply and demand curves where the consumer surplus at the equilibrium price is (a) Greater than the producer surplus. (b) Less than the producer surplus.

Q:

Hello would you please answer the following professionally Southwest Airlines. a. Trend in EPS below is the previous three years worth of EPS data please discuss whether the company seems to show a...

Q:

The most widely used calculated measure of interest rate in bond markets is the a. coupon rate. b. discount rate. c. yield to maturity. d. current yield

Q:

hi, i need help on question c to e re = 3%. Consider a market described by the table below: Stock A B Price 42 40 120 Issued Stocks 1,000 1,200 500 Covariance with M 0.0657 0.0793 0.0406 Assume that...