Prove, using the definition of derivative, that if f (x) = cos x, then f'(x) = -sin

Question:

Prove, using the definition of derivative, that if f (x) = cos x, then f'(x) = -sin x.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

See More Books

Question Posted: Feb 26, 2019 04:43 AM

See More Questions

Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. 21. f(x) = 37 22. f(x) = 12 + 7x 23. f(x) = 1- 3r 24. f(x)...
Prove, using the definition of derivative, that if f(x) = cos x, then f(x) = 1 sin x.
Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. a. F(x) = 1/2x - 1/3 b. f(t) = 5f - 9t2
Earned-value analysis. A project budget calls for the following expenditures: Task Date Budgeted Amount Build forms April 1 $10,000 Pour foundation April 1 $50,000 May 1 $100,000 Frame walls May 1...
Refer to General Mills's balance sheet reproduced at the back of the book to answer the following questions. Required 1. Which is the largest of General Mills's current assets on May 30, 2010? What...
An investment will generate $2,400 per year in perpetuity. If the money is dispensed continuously throughout the year and if the prevailing annual interest rate remains fixed at 4% compounded...
Describe the process of glycolysis. Is ATP produced during glycolysis?
Oklahoma Manufacturing Company uses a standard cost accounting system. In 2012, the company produced 28,000 units. Each unit took several pounds of direct materials and 112 standard hours of direct...
Required: b. Determine the expected amounts for 20X4 for each of the income statement items. (Round gross profit ratio and income taxes ratio to nearest four decimal places. Round other ratios to...
TRUE OR FALSE 1. When bonds are sold at a discount, the effective rate is lower than the nominal rate. 2. The present value of the principal bond liability is equal to the face amount of the bond...
Evaluate + x)? sin 9 sin(3 lim
Find the derivative of the function. F(t) = (3g - 1) 4 (2g + 1) -3
Draw the structures and name the geometric isomers of triamminetrichlorocobalt(III).
Consider a tax system as follows. The tax rate for income between 0 and $1,000 is 25%. Any additional income above $1,000 is taxed at 70%. Now think of an individual who makes $100 an hour and has a...
Part What is the company's operating cycle? How does it compare to the industry average of 72 days? (2 Marks) What is the company's cash conversion cycle? How does it compare to the industry average...
Obtain the temperature distribution as a function of (x, y, t) T 1 T + ax dy a t Where at x = 0 y = 0 T = To, and at x = L T dy = 0, y = W T = T Show all solution steps and simplify all equations...
Explain your recommendations for the economy and economic policies of Liberia and discuss the following: What might be the causes of poverty or lack of economic development in Liberia? What economic...
in what ways does the class system exert influence on individuals diagnosed with autism, particularly concerning their educational experiences, access to resources, and social inclusion within...
Brooklyn has been contributing to a traditional IRA for seven years (all deductible contributions) and has a total of $30,000 in the account. In 2015, she is 39 years old and has decided that she...
Perform the operation by first converting the numerator and denominator to scientific notation. Write the answer in scientific notation. 7,200,00/0.000009
Find the derivative of the function. r(t) = 10 2t
Calculate y'. y = log 5 (1 + 2x)
The displacement (in feet) of a particle moving in a straight line is given by s 1/2 t 2 - 6t + 23, where t is measured in seconds. (a) Find the average velocity over each time interval: (i) [4, 8]...
A taxpayer expenses out $ 1 5 0 , 0 0 0 of tangible property under IRC Section 1 7 9 when they file their Federal return. The taxpayer will need to apportion the Section 1 7 9 between California...
The purpose of this part is to provide you with a better understanding of the origins of the Codification. For this part, you should stay in the Codification, clicking on the tab Other Sources ( on...
A ticket is sold for a flat rate of $ 5 8 . 0 0 and the customer pays the $ 5 8 . 0 0 at the time of the sale. What will be the general journal entry for the company selling the ticket at a sales tax...

Prove, using the definition of derivative, that if f (x) = cos x, then f'(x) = -sin

Question:

Step by Step Answer:

fx cos x x lim h0 fxhfx h lim h0 cos h ...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions