Use the definition of a derivative to show that if f(x) = 1/x, then f'(x) = -1/x2.
Question:
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (8 reviews)
fx lim h0 fahfx h ...View the full answer
Answered By
Ashok Kumar Malhotra
Chartered Accountant - Accounting and Management Accounting for 15 years.
QuickBooks Online - Certified ProAdvisor (Advance - QuickBooks Online for 3 years.
5.00+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Calculus questions
-
If f is a differentiable function and g(x) = xf(x), use the definition of a derivative to show that g(x) = xf(x) + f(x).
-
(a) Use the definition of a derivative to find f (2), where f(x) = x3 2x. (b) Find an equation of the tangent line to the curve y = x3 2x at the point (2, 4). (c) Illustrate part (b) by graphing...
-
(a) If f(x) = 3 5x, use the definition of a derivative to find f(x). (b) Find the domains of f and f. (c) Graph f and f on a common screen compare the graphs to see whether your answer to part (a)...
-
find the steady state expression for vo in the circuit fig 9.32 if ig = 500cos2000tmA 3) 9.32 Find the steady-state expression for u,, in the circuit of Fig. P9.32 if i = 500 cos 2000 mA. Figure...
-
a. Discuss whether or not genetics plays a role in HIV infection, providing at least one example to illustrate your position. b. Provide evidence in support of or refuting the following statement: An...
-
(a) Find an equation of the line that passes through the point (0, 9) and is parallel to 5x + 3y = 4. I
-
Under what circumstances should a healthcare professional self-insure?
-
Blue Wave Co. predicts the following unit sales for the coming four months: September, 4,000 units; October, 5,000 units; November, 7,000 units; and December, 7,600 units. The companys policy is to...
-
5. Explain the function of a dielectric. 6 Identify the parts of a dry cell. 7. Name the five types of battery charges. 8. What is a device that exploits a magnetic field? 9. In order to store more...
-
You, CPA, work as a consultant on various engagements. Your client, Over The Edge Ltd. (OTE), has grown from a small custom snowboard manufacturer servicing the local market to a multinational...
-
Draw a diagram to show that there are two tangent lines to the parabola y = x2 that pass through the point (0, - 4). Find the coordinates of the points where these tangent lines intersect the...
-
Find a second-degree polynomial P such that P(2) = 5, P'(2) = 3, and P"(2) = 2.
-
Write parametric equations that will result in each transformation below for the equations x = 2t - 5 and y = t + 1. a. Reflect the curve across the y-axis. b. Reflect the curve across the x-axis. c....
-
1.) Is sea power/sea control important for a country? Explain your answer and sight instances on how sea control benefits a country. How can we (Filipinos) as a Nation change our attitude and mindset...
-
What are the arrangements should be taken place to protect workers in an active workplace before and during the demolition work?
-
Does Max Webers theory of entrepreneurial growth hold good in todays context? Justify
-
Explain how understanding of marketing system help in creating a good marketing plan?
-
What are the loading hazards that should be considered in a workplace transport risk assessment for a warehouse of a food production company? the answer should consider safety as the main concern....
-
A sample of 65 healthy females in a vaccine trial had a mean body temperature of 98.394 Fahrenheit with a standard deviation of 0.743 Fahrenheit. If all these temperatures were converted to degrees...
-
The time to assemble the first unit on a production line is 10 hours. The learning rate is 0.94. Approximately how long will it take for the seventh unit to be assembled? The number of hours needed...
-
A particle moves with position function s = t 4 - 4t 3 - 20t 2 + 20t t > 0 (a) At what time does the particle have a velocity of 20 mys? (b) At what time is the acceleration 0? What is the...
-
(a) The volume of a growing spherical cell is V = 4/3r 3 , where the radius r is measured in micrometers (1 m = 10 -6 m). Find the average rate of change of V with respect to r when r changes from...
-
If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricellis Law gives the volume V of water remaining in the tank after t minutes as Find the rate...
-
Create a C++ program that concatenates 'n' number of strings input by the user, while adhering to the following specifications. Note that the strcat() function cannot be used. 1. The program asks the...
-
What role do ethnomethodological approaches play in uncovering the underlying norms and assumptions that govern everyday social interactions, and how do these insights inform our understanding of...
-
Consider f(x) = (x1 + x). Given the iterate xk = [H] and the search direction dk = show that " dk is a descent direction and find the minimizer of min f(xk+adk). a0
Study smarter with the SolutionInn App