14. f(x) — 5х15. f(x) — х*16. f(x) — x(х — 1)17. f(x) = e*18. f(x) = cos x19. f(x) = ln xIn Exercises 20–21, find a formula for the derivative usingthe power rule. Confirm it using difference quotients.20. k(x) = 1/x21. 1(x) = 1/x?In Exercises 22–27, find a formula for the derivative of thefunction using the difference quotient.22. g(x) = 2x² – 323. т(x) — 1/(х+ 1)24. g(x) = 4x – 525. g(x) = x² + 2x + 126. g(x) = x³ + 127. g(x) = 1//xQResult 12 of 14

NOTE: Refresh your page if you can't see any equations. . take derivative (using power rule)

Answered: In Exercises 20–21, find a formula for…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Solve for the 4th derivative of function K K= x3Cos√x
5- When the first derivative of the y = sinx function at x =pi/4 is calculated with the forward finite difference formula for h =pi/12 with accuracy o(h^2), what is the approximate value of the relative error for the derivative value? A) 0,0129 B) 2,8125 C) 0,9325 D) 1,1001 E) 1,9277
Solve for the derivative of the given functions using the Chain Ruleformula. Suppose f(x) = (sin(2x) + 1)7 .Find f′ (π/2) and f′(π). a.) What is What is f'(x) in the problem?b.) Which has bigger value between f′ (π/2) and f′(π)?
FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM ( 1. y = Arctan√3x−4/4 2. y = 2 Arccos ( 1 -x/2) + √4x − x2 3. y = ln (x3(x−1)/(x−2)^2) 4. y =e^3x−e^−3x/e^3x+e^−3x 5. x =t/t−1, y =t2/t2−1
37- What is the derivative of the function f(x) = e^(2x-3) for x=2 using the back difference method with steps of h=0.2? A) -2.532778B) 1.79329C) 4.4808D) -1.085584E) 2.078963
Suppose that a model rocket blasts off, straight up, at time t = 0, with a vertical displacement given by afunction f (t) for t ≥0. During the first two seconds of the launch (0 ≤t ≤2), the engine is burning, andthe rocket is accelerating upward with a constant second derivative f ′′(t) = 40 (metres/sec2). At t = 2,the engine stops burning, and gravity takes over, such that the rocket is then accelerating downwardwith a constant second derivative of f ′′(t) = −10 (metres/sec2) for all t ≥2. (i) Assume that•The rocket begins (at time t = 0) with a vertical displacement of zero (f (0) = 0).•The rocket begins (at time t = 0) with a vertical velocity of zero (f ′(0) = 0).•The vertical displacement f (t) is continuous for all t ≥0.•The vertical displacement f (t) is differentiable for all t ≥0.Solve for the vertical displacement f (t) of the rocket for all t ≥0.(NOTE: Your solution should be a piecewise function of t, and you do not need to worry aboutwhat happens to the rocket after it…
Find the derivative and show your complete solution of the following 1. cos(e ^ (2x) + e ^ (- 2x)) 2. y = (ln(2x)) ^ 3 3. y = root(5, ln(5x))
In the Four-Step Rule, which among the steps is the most important, upon which the foundation of determining differential equations rests? a. Step 3 (divide the difference between f(x + Δx) and f(x) by Δx) b. Step 1 (write f(x) as f(x + Δx)) c. Step 4 (apply the limit Δx → 0) and simplify. d. Step 2 (subtract f(x) from f(x + Δx) and simplify)
1.find the derivative of In[In(Inx)] 2. find the derivative of e(2x+Inx)
find a particular solution yp of the given equation. primes denote derivatives with respect to x. y"+9y= 2cos3x+3sin3x
2.2) Find the derivative of y with respect to T.
2. (20) Find the derivative of g(x) =

SEE MORE QUESTIONS

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

In Exercises 20–21, find a formula for the derivative using the power rule. Confirm it using difference quotients. 20. k(x) = 1/x 21. 1(x) = 1/x²