Differentiate the following functions using the rules y = kx n dy/dx = nkx n-1 and
Question:
Differentiate the following functions using the rules
y = kxn ⇒ dy/dx = nkxn-1
and y = f(x) + g(x) ⇒ dy/dx = f'(x) + g'(x).
a. y = x4
b. y = 2x3
c. y = 5
d. y = 10x
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (15 reviews)
Part A In general for y xn dy ...View the full answer
Answered By
ABHIJITH P M
My Education is Bsc in mathematics and now I am study D.El.Ed. (diploma in elementary education).
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics
ISBN: 9781510421646
1st Edition
Authors: Val Hanrahan, Jeanette Powell
Question Posted:
Students also viewed these Sciences questions
-
Differentiate the following functions with respect to the Wiener process Wt, and if applicable, with respect tot. (a) f(W) = W? w, f(W) = (b) f(W,) = elW?) (c) f(W,, t) = ela ,-u'e) f(W,, t) = e, (d)...
-
Differentiate the following functions with respect to x. Simplify your answer where possible. a. y = ln cosh 4x b. y = x 2 sinh(2x 2 1) c. y = xcosh -1 5x d. y = tan -1 (x + y)
-
Differentiate the following functions with respect to the Wiener process Wt and, if applicable, with respect to t. (a) f(Wt) = W2t (b) f(Wt) = Wt (c) f(Wt) = e(W2t) (d) f(Wt, t) = e(Wt1/2 2t)
-
Russ Wyant owned Humble Ranch in Perkins County, South Dakota. Edward Humble, whose parents had previously owned the ranch, was Wyants uncle. Humble held a two-year option to buy the ranch. The...
-
A 414-mL sample of 0.196 MMgBr2 solution is prepared in a large flask. A 43.0-mL portion of the solution is then placed into an empty 100.0-mL beaker. What is the concentration of the solution in the...
-
On October 1, 2006 the Jenkins Corporation bought bonds with a face value of $200,000 for $199,175, which included accrued interest. The bonds are due December 31, 2008 and carry a face rate of...
-
Determine the minimum number of workers needed, and a schedule for the following staffing requirements, giving workers two consecutive days off per cycle (not including Sunday). Day Mon Tue Wed Thu...
-
Donaldson sold plumbing supplies. The St. Paul-Mercury Indemnity Co., as surety for him, executed and delivered a bond to the state of California for the payment of all sales taxes. Donaldson failed...
-
John's Frozen Pizzas uses FIFO process costing. Selected production and cost data follow for April 2018
-
A. Richard McCarthy (born 2/14/64; Social Security number 100-10-9090) and Christine McCarthy (born 6/1/1966; Social security number 101-21-3434) have a 19-year-old son (born 10/2/99 Social Security...
-
For each curve in question. i. Find dy/dx and the value(s) of x for which dy/dx = 0 ii. Classify the point(s) on the curve with these x-values iii. Find the corresponding y-value(s) iv. Sketch the...
-
Ama has her own small aeroplane. One afternoon, she flies for 1 hour with a velocity of 120i + 160j km h1 where i and j are unit vectors in the directions east and north. Then she flies due north for...
-
The CEO of Sunway Corporation is puzzled. During the year, the company experienced a loss of $800,000, yet its cash increased $300,000 during the same period. Explain how this situation occurred.
-
Your company has a Microsoft 365 E5 subscription. You need to review the Advanced Analysis tab on emails detected by Microsoft Defender for Office 365. What type of threat policy should you...
-
(a) The Bright company is evaluating a project which will cost Rs 1,00,000 and will have no salvage value at the end of its 5-year life. The project will save costs of Rs. 40,000 a year. The company...
-
Dispatcher Collins is retiring after 30 years on the job. If each of the 38 officers in the department contributes $9 for a retirement gift, what is the total amount that could be spent on this gift
-
XYZ CO Adjusted Trial Balance Debit Credit Cash Accounts receivable Office supplies Prepaid rent $ 40 850 1 490 1 530 4 000 Office equipment Accumulated Depreciation Accounts payable 7 000 $ 450 1...
-
What positive outcomes could result from implementing job enlargement, job rotation, and job enrichment in an organization with which you are familiar? What objections or obstacles might be...
-
It looks like Wall Street?s annual cash bonuses are slowly recovering from the 2007?2008 recession. In 2017 the bonuses hit the highest level since before the recession. These data can also be found...
-
The ultimate goal of Google, Bing, and other consumer search engines is to provide users with search listings that contain useful information on the topic of their search. What recommendations would...
-
a. Sketch the curve y = 3 cos 2x 1 for 0 x 180. b. i. State the amplitude of 1 4 sin 2x. ii. State the period of 5 tan 3x + 1.
-
Prove each of these identities. a. tan x + cot x = sec x cosec x b. sin x + cos x cot x = cosec x c. cosec x sin x = cos x cot x d. sec x cosec x cot x = tan x
-
Solve each of these equations for 0 x 360. a. cot x = 0.3 b. sec x = 4 c. cosec x = -2 d. 3 sec x 5 = 0
-
Aecerty 1067687 was completed with the folowing charaderistick Murulectere sec00 5xs:99 s35ida sputed
-
Assume todays settlement price on a CME EUR futures contract is $1.3180 per euro. You have a long position in one contract. EUR125,000 is the contract size of one EUR contract. Your performance bond...
-
Q2. Company ABC bought an equipment for $20,000 in 2015, with useful life of 5 years $5,000 residual value amortized using straight-line method. Prepare a table to illustrate the differences...
Study smarter with the SolutionInn App