Use the definition of the derivative and the trigonometric identity cos (x + h) = cos x
Question:
Use the definition of the derivative and the trigonometric identity
cos (x + h) = cos x cos h - sin x sin h
to prove that d/dx (cos x) = -sin x.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 84% (13 reviews)
d dx cos x lim h0 cosx h h ...View the full answer
Answered By
Loise Ndungu
I have five years of experience as a writer. As I embark on writing your papers from the prologue to the epilogue, my enthusiasm is driven by the importance of producing a quality product. I put premium product delivery as my top priority, as this is what my clients are seeking and what makes me different from other writers. My goal is to craft a masterpiece each time I embark on a freelance work task! I'm a freelance writer who provides his customers with outstanding and remarkable custom writings on various subjects. Let's work together for perfect grades.
4.90+
78+ Reviews
224+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
Use the definition of the derivative to show that Dx(sin 5x) = 5 cos 5x.
-
Use the definition of the derivative to show that Dx(sin x2) = 2x cos x2.
-
Use the definition of derivative to prove that In(1 x) lim
-
The common stock of Scarlet Enterprises currently pays a quarterly dividend of $1.75 per share. The dividend is assumed to grow annually at a constant rate of 4.0%. The market beta for Scarlet...
-
Refer to the trial balance for Asian Importers prepared in P3-9B. In addition to this information, note that during the year, common shares in the amount of $12,900 were issued and $6,300 of the...
-
Explain the relationship between price and marginal revenue for a perfectly competitive firm and for a monopolistically competitive firm. Why is the relationship different for these markets?
-
When preparing departmental contribution statements of financial performance, all direct expenses are controllable by department managers. Discuss, giving examples.
-
Refer to P3-4. Kaylee James, a connoisseur of fine chocolate, opened Kaylee's Sweets in Collegetown on February 1. The shop specializes in a selection of gourmet chocolate candies and a line of...
-
Sharkers Company supplied you with the following information: Share Dividend expected next year (R) Dividend Growth Rate (%) Required Return (%) A 1.10 9 12 B 3.80 6 11 C 0.80 13 17 D 2.60 12 16 E...
-
For the CMOS operational amplifier shown in Fig. 9.60, calculate the open-loop voltage gain, unity gain bandwidth, and slew rate. Assume the parameters of Table 2.1 with X d = 1 µm. Assume that...
-
Use the half-angle formula to prove that 1 - cos 2x sinx cos x lim 0.
-
Let For what values of a is f continuous? 3 sin x if x + 0 f(x) . if x = 0.
-
Write a paper summarizing key information available on the PMIs website (www.pmi.org). Also read and summarize two recent reports from PMI, including Pulse of the Profession : Success Rates Rise:...
-
Compare the acceleration of a car that goes from 0 to \(100 \mathrm{~km} / \mathrm{hr}\) in 3 seconds to that of a boulder falling freely near the surface of the Earth.
-
Two identical balls have the same inertia. One was dropped from a building \(20 \mathrm{~m}\) high, and another was thrown up from the ground at an initial speed of \(26 \mathrm{~m} / \mathrm{s}\)....
-
A ball is shot straight up near the Earth's surface. (a) Can its velocity be zero while its acceleration is nonzero? \((b)\) Is the velocity of the ball the same at any two points, one of which is on...
-
An electron is decelerated from \(4 \times 10^{6} \mathrm{~m} / \mathrm{s}\) to zero in \(6 \times 10^{-8}\) s. (a) Calculate the distance travelled by the electron in this interval. (b) Calculate...
-
A sports car goes from zero to \(108 \mathrm{~km} / \mathrm{hr}\) in 3 seconds. (a) What is the acceleration of the car, assuming it is constant? (b) How far does it travel during this time period?...
-
Draw segments of the following polymers, indicating the stereochemistry with wedges and/or dashes. (a) Syndiotactic poly(vinyl chloride) (b) Isotactic polystyrene
-
Assume today is the 21st of February. Using the information below, FT Extract, answer the following questions (parts i and ii). You work for a US company that is due to receive 250 million in June...
-
Use a power series to approximate the definite integral to six decimal places. r0.3 dx 1 + x3
-
Use a power series to approximate the definite integral to six decimal places. C1/2 arctan(x/2) dx
-
Use a power series to approximate the definite integral to six decimal places. r0.2 I x In(1 + ?) dx
-
(3) Calculate m(R) (volume of R) Given: R is the region of the 3- dim space, defined by: 3 Upper border: Z = 92 (x, y) = 3x+5y3 Lower border: Z = 9, (x,y) = x+y xy projection: D= pr (R) = triangle...
-
Explain what is Model, Strategy, Algorithm in math teaching? How is it similar/compare to 'algorithm' language of borrow or carry over in subtraction
-
Directions and Info for Building 1. Use a program where you can draw and type, like pages, or you can draw this out on a piece of paper and take a picture to submit. 2. You will begin with the...
Study smarter with the SolutionInn App