Show that the function is differentiable at x = 0. f(x) = [r 0 x sinif...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Show that the function is differentiable at x = 0. f(x) = [r³ 0 x³ sinif x #0 if x = 0 Show that the function is differentiable at x = 0. f(x) = [r³ 0 x³ sinif x #0 if x = 0
Expert Answer:
Answer rating: 100% (QA)
Solution given function fx x 3 sin1x 3 when x 0 0 a... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Jr. MATHEMATICS Jr. then dy dx 92. If ya 76. The number of points of non-differentiability for 83. If y1+ and x+y-+ TC in 1) 0 the function f(x)=x|+cos.x+ tan*+ 2)2 -y 4) 3) 1) the interval (-1, 2)...
-
Suppose that f: Rn R is differentiable at a and that f(a) 0. a) Show that for ||h|| sufficiently small, f(a + h) 0. b) Prove that Df(a)(h)/||h|| is bounded for all h Rn{0}. c) If T := -Df(a)/f2(a),...
-
Show that the function f(x) = | x 6 | is not differentiable at 6. Find a formula for f and sketch its graph.
-
A mutual fund has 20 stocks in its portfolio. On a given day 9 stocks move up, 3 stay the same, and 8 move down. In how many ways could this happen?
-
A box is held in position by a cable along a frictionless incline (Figure). (a) If = 60 and m = 50 kg, find the tension in the cable and the normal force exerted by the incline. (b) Find the tension...
-
What type of graph is Figure 2.11? A. Bar chart B. Pie chart C. Histogram D. Scatterplot E. Dot plot Figure 2.11 Percent 70% 60% Randomised Group Scalpel (n = 101) Corn Plaster (n = 100) 50% 40% 30%...
-
Match each of the following descriptions, a through \(h\), with a capital budgeting method: (1) payback method, (2) net present value, (3) profitability index, or (4) internal rate of return. More...
-
One of the suppliers working with Comac to provide parts for the C919 is a company called Parker Hannifin, which is supplying hydraulic, fuel, and flight control systems. Based on this information,...
-
Dollarama Inc. reported the following liabilities (in thousands) in its January 31, 2021, financial statements (in thousands): Long-term debt $1,044,079 Income taxes payable $12,975 Deferred income...
-
Dylan Reyes is the accountant for Heads Up Hat Corporation. In preparing the payroll for the semimonthly pay period ending December 15, Dylan notices that some of the year-to-date executives salaries...
-
Difficult and failed tracheal intubations are among the principal causes of anesthetic-related mortality and morbidity. Because a good laryngeal view facilitates successful tracheal intubation, new...
-
Question 1: (Marks 10-CLO2) . . . . . High Level . Sensor Figure 1 The system shown in Figure 1 represents a PLC controlled grain transfer system. The conveyor can run in either direction as shown by...
-
Assume that a Kia automobiles dealership in Mehrauli, Gurugram transshipped 300 Kia Sonet cars from South Korea at a cost of Rs. 13 lakhs per car in September 2019. By March 31, 2020, they were able...
-
The assemble-it-yourself furniture chain IKEA has developed its corporate culture from its Swedish roots, which not only shape the brand identity, but also stimulate designs - including the very idea...
-
A convertible bond issued has the following characteristics. Please calculate (1) minimum value and (2) market conversion premium. Maturity = 12 years Coupon rate = 7% Coupon payment twice a year...
-
Provide a branding strategy over the next five (5) years to build "brand equity." Brand building period - over the next 5 years Target market - Men, women and children under 40 years of age in...
-
Suppose the Jenson's alpha of a portfolio is 2.5%, while the actual return is 12%. The risk-free rate is 2.5% and the expected return on the market is 12%. What is the Treynor Ratio of the portfolio?
-
The population of Detroit, Michigan, decreased from 1,027,974 in 1990 to 688,701 in 2013 (Source: U.S. Census Bureau). Find the average rate of change in the population of Detroit, Michigan, over the...
-
a) A subset E of R is said to be sequentially compact if and only if every sequence xn E has a convergent subsequence whose limit belongs to E. Prove that every closed bounded interval is...
-
For each of the following, find the surface area of S. a) S is the conical shell given by z = x2 + y2, where a < z < b. b) S is the sphere given in Example 13.31. c) S is the torus given in Example...
-
Let a and b be nonzero vectors in Rn. a) If (t) = a + tb for t R, show that for each to, t0, t1, t2 R with t1, t2 t0, the angle between (t0) - (t0) - (t0) and (t2) - (t0) is 0 or . b) If is the...
-
If the price of zucchini increases, causing the demand for yellow squash to rise, what do we call the relationship between zucchini and yellow squash?
-
The price elasticity of demand is defined as the percentage change in _________ divided by the percentage change in _________.
-
The price elasticity of demand measures the responsiveness of quantity _________ to a change in price.
Study smarter with the SolutionInn App