Prove the sum rule for derivatives. Note that the difference quotient for f + g can be
Question:
Prove the sum rule for derivatives. Note that the difference quotient for f + g can be written as
Transcribed Image Text:
(f+ g)(x + h) (f + g)(x) h = [f(x + h) + g(x + h)] - [f(x) + g(x)] h
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 0% (2 reviews)
fgx lim h0 lim h0 fgx...View the full answer
Answered By
Carly Cimino
As a tutor, my focus is to help communicate and break down difficult concepts in a way that allows students greater accessibility and comprehension to their course material. I love helping others develop a sense of personal confidence and curiosity, and I'm looking forward to the chance to interact and work with you professionally and better your academic grades.
4.30+
12+ Reviews
21+ Question Solved
Related Book For
Calculus For Business, Economics And The Social And Life Sciences
ISBN: 9780073532387
11th Brief Edition
Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price
Question Posted:
Students also viewed these Mathematics questions
-
You own and live on a commercial farm and grow wheat for sale, but you also set aside a fairly large amount for your familys personal consumption. Are you affecting interstate commerce in such a way...
-
(a) Given a function f, prove that g is even and h is odd, where g(x) = 1/2 [f (x) + f( x)] and h(x) = 1/2 [f (x) f (x)]. (b) Use the result of part (a) to prove that any function can be written as a...
-
Prove that every positive definite matrix K can be written as a Gram matrix.
-
10 You are looking at an investment that will pay $1200 in 5 years if you invest $1000 today. What is the implied rate of interest? A. What Formula would you use to find the answer? Show the formula...
-
This problem continues the Shine King Cleaning situation from Problem P2-44 of Chapter 2. Start from the unadjusted trial balance that Shine King Cleaning prepared at November 30, 2015, as follows:...
-
Consider the Dodd-Frank Wall Street Reform and Consumer Protection Act. According to the Act, the PCAOB now has authority to inspect the work of audit firms auditing broker-dealer firms. Do you...
-
A person donates a bag of clothes to Goodwill completely unaware that there is valuable sterling silver in the bag. The clothing and silver are subsequently sold, for a very economical price, to...
-
Southern State University had the following account balances as of June 30, 2012. Debits are not distinguished from credits, so assume all accounts have a normal balance: Accounts receivable . . . ....
-
You have just been named Director of Data Administration of General Hardware Co. General Hardware maintains a large central IS organization with several operational relational databases at its...
-
An object moves along a straight line with velocity a. Find the acceleration a(t) of the object at time t. b. When is the object stationary for 0 t 5? Find the acceleration at each such time. c....
-
When you first begin to study a topic or practice a skill, you may not be very good at it, but in time, you will approach the limits of your ability. One model for describing this behavior involves...
-
Barnes knows that SKI sells on the same credit terms as other firms in the industry. Use the ratios presented in Table IC 15-1 to explain whether SKI?s customers pay more or less promptly than those...
-
For the function below, find f'(4). State which, of any, of the follow rules you used: the product rule, quotient rule, and the chain rule. Show all steps. f(x)= 3.x2 x+7 Find an equation for the...
-
The beam section below is solid and homogenous and has the following dimensions: b1 = 42 mm (top flange width) , b2 = 42 mm (bottom flange width) and b3 = 18 mm (web width). d 1 = 90 mm (section...
-
In 2021, Smith Traders Incorporated and reported a net operating loss of $100,000. In 2022, before the NOL deduction, it reported taxable income of $50,000. What is Smith Traders' 2022 taxable income...
-
The forwarding table within a host is displayed below: [root@tristan]# ip route show 192.168.99.0/24 deveth0 scope link 127.0.0.0/8 devlo scope link default via 192.168.99.254 dev eth0 1. For...
-
One of my colleagues, a psychology professor who retired a few years back, had boasted that he had increased his initial stake of $10K by 50-fold to $500K in about 30 years of active stock picking...
-
Consider the following 20 observations on time to failure: 702, 507, 664, 491, 514, 323, 350, 681, 281, 599, 495, 254, 185, 608, 626, 622, 790, 248, 610, and 537. Is either exponential or the Weibull...
-
Recall that Chapter 8 described the binary search algorithm for finding a particular entry in an ordered list. The idea behind binary search is to begin looking in the exact center of the list. If...
-
In Exercises, sketch the graph of a single function that has all of the properties listed. (a) Continuous for all real numbers (b) Differentiable everywhere except at x = 4 (c) (1) = 5 (d) (1) = 0...
-
In Exercises, find the open intervals where the functions are concave upward or concave downward. Find any inflection points. (x) = -(x + 2) 6
-
In Exercises, complete the following for each function. (a) Find intervals where the function is increasing or decreasing, and determine any relative extrema. (b) Find intervals where the function is...
-
2. (36 points) Phase equilibrium: Using the Clausius-Clapeyron equation Saturated liquid water at T = 55C has a vapor pressure of Psat = 15.763 kPa. The heat (or enthalpy) of vaporization at this...
-
If I compress a gas, is the work positive or negative? Will it get cold or hot (assume it is thermally insulated)? If I compress a gas under isothermal conditions, how is it that the temperature is...
-
Element P reacts with Q according to the equation: 2P + 7Q --> R + 3S If 13 g of P reacts completely with 14 g of Q to produce 15 g of R, how many grams of S are produced? show working
Study smarter with the SolutionInn App