Use the definition of the derivative to show how the formulas in Problem are obtained. If f(x)
Question:
Use the definition of the derivative to show how the formulas in Problem are obtained.
If f(x) = 3x2, then f¨(x) = 6x.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 33% (6 reviews)
Using the definition of the derivative we have As ...View the full answer
Answered By
Rinki Devi
Professional, Experienced, and Expert tutor who will provide speedy and to-the-point solutions.
Hi there! Are you looking for a committed, reliable, and enthusiastic tutor? Well, teaching and learning are more of a second nature to me, having been raised by parents who are both teachers. I have done plenty of studying and lots of learning on many exciting and challenging topics. All these experiences have influenced my decision to take on the teaching role in various capacities. As a tutor, I am looking forward to getting to understand your needs and helping you achieve your academic goals. I'm highly flexible and contactable. I am available to work on short notice since I only prefer to work with very small and select groups of students.
I have been teaching students for 5 years now in different subjects and it's truly been one of the most rewarding experiences of my life. I have also done one-to-one tutoring with 100+ students and helped them achieve great subject knowledge.
5.00+
2+ Reviews
10+ Question Solved
Related Book For
Applied Calculus
ISBN: 9781119275565
6th Edition
Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale
Question Posted:
Students also viewed these Mathematics questions
-
Use the definition of a derivative to show that if f(x) = 1/x, then f'(x) = -1/x2. (This proves the Power Rule for the case n = - 1.)
-
Use the definition of a derivative to find f'(x) and f"(x). Then graph f, f', and f" on a common screen and check to see if your answers are reasonable. F(x) = 3x2 + 2x + 1
-
Use the definition of the derivative to show how the formulas in Problem are obtained. If f(x) = x x 2 , then f(x) = 1 2x.
-
A metallic block (specific heat 500 J/kg K) of 100 kg mass having a temperature of 360 K is immersed in an insulated tank containing 40 kg of water at 300 K. Find the change in entropy of the...
-
During 2012, Stacker Enterprises earned $55,000 from services provided and incurred $15,500 of expenses. At the end of the year, Stacker had received cash for $35,750 of the revenues and had paid...
-
What are some of the ways to estimate the beta for a new venture? Describe some of the challenges to developing an accurate estimate. How does financial leverage impact your beta estimate?
-
A process is said to be uniform if there is (a) No change with time (b) No change with location over a particular region (c) Both(a) and (b) (d) Neither (a) nor (b).
-
Celine Dion Corporation purchases a patent from Salmon Company on January 1, 2012, for $54,000. The patent has a remaining legal life of 16 years. Celine Dion feels the patent will be useful for 10...
-
1. What shape (function) does the graph seem to follow? Does it agree with the expected theory for radioactive decay? 2. If you started with a sample of 600 radioactive nuclei, how many would remain...
-
The population, P(t), of China, in billions, can be approximated by where t is the number of years since the start of 2014. According to this model, how fast was the population growing at the start...
-
Use the definition of the derivative to show how the formulas in Problem are obtained. If f(x) = x 2 + 4, then f(x) = 2x.
-
Solve the given systems of equations by either method of this section. 6x + 3y + 4 = 0 5y + 9x + 6 = 0
-
Are the following statements regarding heritability true or false? A. Heritability applies to a specific population raised in a particular environment. B. Heritability in the narrow sense takes into...
-
What strategy would you follow to produce a human hormone in the milk of livestock?
-
If two or more different genotypes are not affected by environmental variation in the same way, this outcome is due to a. a genotypeenvironment association. b. a genotypeenvironment interaction. c....
-
Is each of the following events best explained by mutation or epimutation? A. Imprinting of the Igf2 gene B. V ariation in coat color in mice carrying the Avy allele C. Formation of cancer cells D. V...
-
1. For many quantitative traits, phenotypes due to different genotypes tend to overlap because a. the trait changes over time. b. the trait is polygenic. c. environmental variation affects the trait....
-
Best has decided to increase its facilities by adding one sub-facility. Doing this, however, will reduce the overall system efficiency to 78 percent. Compute the new rated capacity under this...
-
A bar of length = 1 has one fixed and one free end and stiffness function c(x) = 1 - x. Find the displacement when subjected to a unit force. Pay careful attention to the boundary condition at the...
-
Use formulas (1) and (2) and the power rule to find the derivatives of the following functions. f(x) =
-
In Exercises, find the slope of the tangent line to the graph of y = x2 at the point indicated and then write the corresponding equation of the tangent line. (-1.5, 2.25)
-
Give two different notations for the first derivative of f(x) at x = 2. Do the same for the second derivative.
-
Germany is known for its automobile industry. Germans' passion for high-speed driving on their highways with no speed limits relates to which of Porter's attributes of a nation?
-
PolyProduction Inc. has two classes of common stock. Class A has 5 million shares with 10 votes per share. Class B has 5 million shares with 1 vote per share. If the dividends per share are equal for...
-
Comparative financial statement data for Carmono Company follow: Assets Cash and cash equivalents Accounts receivable Inventory Total current assets Property, plant, and equipment Less accumulated...
Study smarter with the SolutionInn App