Let (x) = tan 2 x and g(x) = sec 2 x. (a) Use an identity and
Question:
Let ƒ(x) = tan2 x and g(x) = sec2x.
(a) Use an identity and prove ƒ'(x) = g'(x) without directly computing ƒ'(x) and g'(x).
(b) Now verify the result in (a) by directly computing ƒ'(x) and g'(x).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
a Using the identity 1 tan 2 x sec 2 x we have 1 x gx Taking the de...View the full answer
Answered By
Nazrin Ziad
I am a post graduate in Zoology with specialization in Entomology.I also have a Bachelor degree in Education.I posess more than 10 years of teaching as well as tutoring experience.I have done a project on histopathological analysis on alcohol treated liver of Albino Mice.
I can deal with every field under Biology from basic to advanced level.I can also guide you for your project works related to biological subjects other than tutoring.You can also seek my help for cracking competitive exams with biology as one of the subjects.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Berlisle Inc. is a manufacturer of sails for small boats. The management is trying to get a better understanding of their costs and are concerned with the variances that they have seen between...
-
Let (x) = sin 2 x and g(x) = cos 2 x. (a) Use an identity and prove '(x) = g'(x) without directly computing '(x) and g'(x). (b) Now verify the result in (a) by directly computing '(x) and g'(x).
-
A high-tech company purchases a new computing system whose initial value is V. The system will depreciate at the rate f = f (t) and will accumulate maintenance costs at the rate g =g (t), where is...
-
Using the following graphs, match the market situation with the correct graph. Price 0 E1 E Q Q Quantity Graph C S 52 Price P 0 Which graph shows an increase in supply? Which graph shows a decrease...
-
On June 3, 2012, the firm of Lyon, Malone, and Chen decided to liquidate their partnership. The partners have capital balances of $12,000, $76,000, and $104,000, respectively. The cash balance is...
-
Suppose that a state offered voluntary standardized tests to all its third graders and that the resulting data were used in a study of class size on student performance. Explain how sample selection...
-
A domestic refrigerator consists of (a) A condenser, a compressor and an evaporator (b) A condenser, a throttling valve, a compressor and an evaporator (c) A condenser, a throttling valve and an...
-
1. What does Rawls mean when he states that justice is the first virtue of social institutions? 2. How does he describe what he calls the original position and the veil of ignorance, from behind...
-
Hemming Company reported the following current-year purchases and sales for its only product. Date January 1 January 10 Activities Beginning inventory Units Acquired at Cost 265 units @ $12.60 =...
-
Both Novador and Sashimia are members of the WTO. Sashimia is also one of 12 fishing nations that are members of the Southern Atlantic Tuna Fishing Organization (SATFO). SATFO was established in 1998...
-
The following table provides values of F(r) for the United States in 2010. Assume that the national average income was A = $66,000. (a) What was the average income in the lowest 40% of households?...
-
Find the x-coordinates of the points where the tangent line is horizontal on the trident curve x y = x 3 5x 2 + 2x 1, so named by Isaac Newton in his treatise on curves published in 1710 (Figure...
-
How likely are you to vote in the next presidential election? A random sample of 300 adults was taken, and 192 of them said that they always vote in presidential elections. a. Construct a 95%...
-
(a) Calculate the rotational kinetic energy (in J) of Saturn on its axis. (Assume its mass to be 5.69 x 1026 kg, the period about its axis to be 10.2 h, and its diameter to be 1.21 105 km.) J (b)...
-
A student was sent to another planet to measure its properties. Upon landing, the gravimeter instrument broke. Since the student took PHYS1800, they knew they could observe the motion of an object to...
-
There is a storm, in which lightning stroke (light wave) and thunder (sound wave) happened at the same time in a cloud. You are at a distance d from the storm, and you see the lightning almost...
-
A mass m = : 22.3kg is supported against gravity by three ropes. Rope 1 pulls directly to the right (in the positive x-direction) exerting a force of magnitude T = 38.3N. Rope 2 pulls up and to the...
-
On Earth you weigh 6 0 0 N . On another planet your weight ( the gravity force from the planet exerts on you ) is 4 0 0 N . If the mass of the planet is 4 . 0 0 * 1 0 2 4 kg , , what is its radius?
-
Given that z is a standard normal random variable, find z for each situation. a. The area to the right of z is .01. b. The area to the right of z is .025. c. The area to the right of z is .05. d. The...
-
6 (a) Briefly develop a mathematical model of the behaviour of a copper-twisted pair cable (b) Derive the magnetic energy from: w given that: K + w, where the - - k symbols have their usual meaning...
-
Population 3 starting from 10 individuals. The following table gives the immigration (positive values) or emigration (negative values) for four populations over a period of 10 years. Find the...
-
Population 4 starting from 50 individuals. The following table gives the immigration (positive values) or emigration (negative values) for four populations over a period of 10 years. Find the...
-
What is the per capita production of population 1 during these years? The following table describes populations that are growing through production. For each, sketch a graph, find the per capita...
-
Tahu, a constable with the New Zealand Police, was walking back home from the Fish' n Chips shop with his life partner Marigold. It was his day off and he thought he would propose to Marigold. Tau...
-
A. Suppose a client of yours requires deterministic service from network, which you are designing for them. This is realised from client's need for a predictable service request and offering can be...
-
How do you define leadership, and what makes one an effective leader? Do you make a distinction between management and leadership? If so, what is it? What do you think is the role of the follower?...
Study smarter with the SolutionInn App