Question: a. Prove the constant rule: b. Prove the exponential rule: fkd k dx = kx + C.

a. Prove the constant rule:


fkd k dx = kx + C.


b. Prove the exponential rule:


image

fkd k dx = kx + C.

Step by Step Solution

★★★★★

3.38 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b jkdxkx... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus With Applications Questions!

Q:

Prove that is the relative rate of change is a positive constant then the function must represent exponential growth.

Q:

Prove that is the relative rate of change is a negative constant then the function must represent exponential decay.

Q:

Prove that if a sequence Z1, Z2, . . . converges to a constant b in quadratic mean, then the sequence also converges to b in probability.

Q:

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

Q:

7/4/23, 11:16 PM Homework 8.7-Anh Nguyen Use a table of integrals to determine tv7t+ 19 at. Click here to view page 1 of the integral table. " Click here to view page 2 of the integral table. 14...

Q:

Least Squares Approximation Hector D. Ceniceros 1 Least Squares Approximation Let f be a continuous function on [a, b]. We would like to find the best approximation to f by a polynomial of degree at...

Q:

Downloaded 02/28/15 to 132.174.255.3. Redistribution subject to SIAM license or copyright; see http://www.siam.org/journals/ojsa.php 15.7. Exercises 475 changes and we laugh no more. While...

Q:

Can you please help answer all of the questions. Thanks so much! :) 144 CHAPTER 3 DIFFERENTIATION 62. Compute the derivative of f(x) = x/ using the limit definition. 70. Match functions (A)-(C) with...

Q:

Algorithms in Artificial Intelligence (or, the old name: Introduction to Algorithmic Decision Making) Part 1 Based on slides by David Sarne and Lirong Xia Course Tentative Schedule Introduction...

Q:

Can you please help me with the problems that are circled and also the two questions on the last scan? Thanks so much!!! :) SECTION 3.2 The Derivative as a Function 143 46. Of the two functions f and...

Q:

Trusted Technologies Ltd. (TTL) provides technology solutions to manufacturing companies. TTL is a wholly owned subsidiary of Global World International Inc. (GWI), a publicly owned conglomerate. In...

Q:

Evaluating the Effect of Adjusting Unearned Subscriptions on Cash Flows and Performance as a Manager You are the regional sales manager for Miga News Company. Miga is making adjusting entries for the...