Use the definition to find f'(x) for the following functions. a. f(x) = x 2 b. f(x)
Question:
Use the definitionto find f'(x) for the following functions.
a. f(x) = x2
b. f(x) = x3
c. f(x) = x4
d. Based on your answers to parts (a)–(c), propose a formula for f'(x) if f(x) = xn, where n is a positive integer.
Transcribed Image Text:
f(x + h) – f(x) f'(x) = lim
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 68% (16 reviews)
a fx 2x ...View the full answer
Answered By
Payal Mittal
I specialize in finance and accounts.You can ask any question related to til undergradution.Organizational behaviour and HRM are my favourites for you can always relate to them and is an art with practical knowledge base.
4.90+
226+ Reviews
778+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
Find f o g o h. 41. f(x) = x + 1. x) = 2x. h(x) = x - 1 42. f(x) = 2x - 1. g(x) = x. (x) = 1 - x 43. f(x) = Vx- I, g(x) +2. h(x) = x+ 3 44. f(x) g(x) cos x. h(x) = + 3 X +1
-
Use the theorems of this section to find f1 for the following: a. f(x, y, z) = xy b. f(x, y) = sin (xsin (y)). c. f(x, y, z) = sin (xsin (ysin (z)) d. f(x, y, z) = xy2 e. f(x, y, z) =xy+z f. f(x, y,...
-
Use the definition of derivative to find f(x) for f (x) = 3x2 + 2x - 1.
-
Assume that investment spending depends only on the interest rate and no longer depends on output. Given this information, a decrease in money supply: a. will cause investment to increase. b. may...
-
Tory, Hachey, and Wedunn, three young lawyers who have joined together to open a law practice, are struggling to manage their cash flow. They have not yet built up enough clientele and revenues to...
-
The accounts below are taken from the ledger of Bartel Music Consulting on 30 June 2019, the end of the current financial year. Required (a) Record the closing entries that affected the accounts. (b)...
-
What is the effect on output of replacing high minimum prices with grants to farmers unrelated to current production?
-
At the beginning of the current season on April 1, the ledger of Five Pines Pro Shop showed Cash $3,000; Merchandise Inventory $4,000; and Irene Tiger, Capital $7,000.These transactions occurred...
-
Year 1 Year 2 Year 3 Year 0 Revenues -Cost of Goods Sold -Depreciation -EBIT -Taxes (20%) 500000 500000 500000 -160000 160000 - 160000 -100,000 -100,000 100,000 240000 240000 240000 -48000 - 48000...
-
Complete Keith's tax return including all required schedules and forms using prince edward island as province, using the fillable forms package. Taxpayers Information Taxpayer #1 Name: Keith Dox...
-
Is differentiable at x = 2? Justify your answer. .2 x? 5 + 6 f(x) 2
-
Assuming the limit exists, the definition of the derivative If h > 0, then this approximation is called a forward difference quotient; if h < 0, it is a backward difference quotient. As shown in the...
-
The R-value of insulation is a measure of its ability to resist heat transfer. For fiberglass insulation, 31/2 inches is rated at R-11 and 6 inches is rated at R-19. Assuming this relationship is...
-
Desmond is an accountant by profession, had opened his own consultant firm by name of Desmond & Co., He was employed by Taylor University, Malaysia to give a lecture in the area of Auditing for the...
-
XYZ companys stock has a dividend yield of 4%. Employing the Gordon Growth Model, what is the stocks implied growth rate if the relevant interest rate is 3% with a 8% risk premium? Beta is not...
-
If the resistance of the loop is 1,810 2, what are the magnitude and the direction of the current through the bar? (Assume B = 2.3 T, L = 1.6 m, and v= 0.55 m/s.) magnitude 0.112 X mA B direction...
-
The Constitution requires advice and consent for judicial nominations, but the president's judicial nominations have increasingly bogged down in partisan warfare. In 2013, Democrats largely...
-
Allison's cottage was available for rental from May 1 to September 30. Allison's sister used the cottage for the last 14 days of April. The person who rented the cottage for August allowed Allison to...
-
Refer to PA1-3. Assume that you are the owner/operator of College Park Veterinary Clinic. At the end of the second year of operations (June 30, 2014), the following financial data for the company are...
-
If 2 5 9 - k 5 8 = 2 5 8 , what is the value of k?
-
A steel tank has the shape of a circular cylinder oriented vertically with diameter 4 m and height 5 m. The tank is currently filled to a level of 3 m with cooking oil that has a density of 920 kg/m...
-
(a) Find the average value of the function f (x) = 1/x on the interval [1, 4]. (b) Find the value c guaranteed by the Mean Value Theorem for Integrals such that f ave = f (c). (c) Sketch the graph of...
-
Evaluate the integral using integration by parts with the indicated choices of u and dv. * dx; %3 , dv e2* dx
-
I. For each of the following functions, do the following: a. Determine if f is continuous at a. b. Determine if f is differentiable at a. 1. 5-6x if x3 f(x)=-4-x ifx>3 ; a=3 4. f(x)= x-9 if x <3 ;a=3...
-
Molander Corporation is a distributor of a sun umbrella used at resort hotels. Data concerning the next month's budget appear below: Selling price per unit Variable expense per unit Fixed expense per...
-
Consider the simplest complex constellations of 8-PSK and 16-PSK which sends symbols along both the I and Q components, as shown in Fig. 1. Let E denote the average transmit power, and 2 the variance...
Study smarter with the SolutionInn App