Question: Differentiate (a) y = sin(x 2 ) (b) y = sin 2 x.

Differentiate 

(a) y = sin(x2) 

(b) y = sin2x.

Step by Step Solution

★★★★★

3.34 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a If y sinx 2 then the outer function is the sine func... 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 6th edition Questions!

Q:

1. What is CLB? Draw a Configurable Logic Block diagram showing all elements and discuss each of them. What are slices in FPGA? 2. Discuss the 3 types of FPGA based on this logic capacity and...

Q:

Use an appropriate method to differentiate each of the following functions: a. y = sin x/1 + cos x b. y = 1 + cos x/sin x c. y = sin x(1 + cos x) d. y = cos x(1 + sin x) e. y = sin x(1 + cos x) 2 f....

Q:

Solve the following trigonometric equations in [0, 2] (a) sin2x + sin x = cos2 x (b) sin2x cos x + cos2x sin x = 1

Q:

Identify the critical points and find the extreme values on the interval [- 1, 5] for each function: (a) f(x) = cos x + x sin x + 2 (b) g(x) = |f(x)|

Q:

Answer the following. Write your answer on a separate sheet of paper. 1. Differentiate y = x2 sin x 2. What is the derivative of y = 3 sin x - 4 cos x? 3. By applying the product rule, differentiate...

Q:

Section 8.3 Reading Assignment: Trigonometric Integrals Instructions. Read through this assignment and complete the three exercises below by reading the appropriate passages of the textbook. This...

Q:

Section 8.3 Reading Assignment: Trigonometric Integrals Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three questions very...

Q:

Hello I need help on homework, there are 18 questions scattered throughout, I don't need the work, and you don't have to do all of them . Question 20 . Question 22 Complete the following computation:...

Q:

Answer the following. Write your answer on a separate sheet of paper. 1. Differentiate y = x2 sin x 2. What is the derivative of y = 3 sin x - 4 cos x? 3. By applying the product rule, differentiate...

Q:

1-22 Differentiate. 1. f(x) = 3 sin x - 2 cos x 2. f(x) = tan x - 4 sin x 3. y = x2 + cot x 4. y = 2 sec x - csc x 5. h(0) = 02 sin 0 6. g(x) = 3x + x2 cos x 7. y = sec 0 tan 0 8. y = sin 0 cos 0 9....

Q:

Using Microsoft Access, how can Jenny identify the redundant attributes in her table and design an efficient database management system? Selling Mary Kay brand cosmetics and beauty aids was Jenny...

Q:

Investigators in the Wisconsin Department of Natural Resources (1993) used capturerecapture to estimate the number of fishers in the Monico Study Area in Wisconsin. a. In the first study, 7 fishers...

Q:

Assume you have received an inheritance of $ 5 , 0 0 0 , which works out great since you want to buy a new widget that costs $ 5 , 5 0 0 . You decide to save the money by purchasing a bank CD with...

Q:

335 Find the proportionality constant K = iO=iS for the circuit in Figure P335. is R3 www RR R4 www FIGURE P3-35 io

Q:

Let a, c 0. Show that the roots of ax2 + bx + c = 0 and cx2 + bx + a = 0 are reciprocals of each other.

Q:

Fill in the tables and guess the value of the limit. 1. 3. lim, f. (x), where f(x) = 7-1 tf(x) 1.002 1.001 1.0005 1.00001 x f(x) 0.998 0.999 0.9995 0.99999 lim f(y), where f() 2.002 2.001 2.0001...

Q:

Fill in the tables and guess the value of the limit. 1. 3. lim, f. (x), where f(x) = 7-1 tf(x) 1.002 1.001 1.0005 1.00001 x f(x) 0.998 0.999 0.9995 0.99999 lim f(y), where f() 2.002 2.001 2.0001...

Q:

Towson Corp., was organized on January 2, 2018. During the first year of operation, Towson issued 70,000 shares of $5 par value common stock at a price of $40 cash per share. On December 31, 2018,...

Q:

In strategic management principles there is a saying that firms in their early stage of life cycle are more concerned with survival as against profit maximization. To what extent is this statement...

Q:

A public school district should recognize revenue from property taxes levied for its debt service fund when Funds from the levy are measurable and available to the district. Assessed valuations of...