(2t+1)Find the derivative of S (t) =e6tet (3(2t + 1)2 (2))- (2t + 1) (et (6))(e6t)2s' (t) =(2t + 1) (et (6)) – eôt (3(2t + 1)² (2))(e6t)2s'(t)e (3(2t + 1)(2))- (2t + 1)³ (e* (6))s'(t) =(e6t)2ebt (3(2t + 1) (2)) – (2t + 1)* (et)(e6t)2s' (t) =

Answered: Image /qna-images/answer/de4cfb06-f599-48ac-b21b-4ef0f9783840.jpg

Answered: (2t+1) Find the derivative of S (t) =…

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

Find the derivatives
Find the first and second derivatives involving differences, products, and quotients. x +7 a- y = (x-1)(x²+x+1) b- y = x3 (1+3x' c- y = () (3 – x) d- y = E 12x e- y sec x
y'(x) = y = (x + 2)²(x³ + 4)4
Calculate the first, second, and third derivatives of 3 y(x) = 28 + x (Use symbolic notation and fractions where needed.) y (x) = y' (x) = y" (x) = 80 F3 F4 DD F9 F7 %23 &
y'''-8y=0, y(0)=4, y'(0)=5, and y''(0)=7
Determine the second derivative of 6 y – xy²= 1 A y"= 2y3 ( 6 - 2x y)-2 ( 2 – xy ( 6 – 2x y) -1) y ' = 2y³ ( 6 – 2x y)-² ( 2 + x y ( 6 – 2x y) -1) B "= - 2y3 ( 6 – 2x y) -2 ( 2 + x y ( 6 – 2 x y )-1)
Use u(x) = (x2 - 2)³, v(x) = x2 + 3, u'(x) = 6x(x2 – 2)2, and v'(x) = 2x to find the derivative of (x2 – 2)3 y = Then, rearrange the numerator in preparation for simplifying. x + 3 v(x) · u'(x) – u(x) • v'(x) y' = ² +3 ). 6x(x2 – 2)2 – (x² – 2)³ · 2x y' [x² + 3]? 6x(x2 + 3)(x2 – 2)² | y' = Ja? - 23 (x² + 3)²
1. Find f '(x) a) f(x) =(5x + 3)(7x² - 2) using the product rule b) f(x) = (3x? - 5)" using the chain rule c) f(x) = Inx + 4e*- e 2. Given xy + 3x =-1; find a) f '(x) b) the equation of the tangent line at the point (-3,4) . 3. Given the price - demand equation: p + 0.025x = 25 a) Express the demand x as a function of the price p. [HINT Solve for x since x = f(p)] b) Find the clasticity of demand E (p) if E (p) = - p f '(p) f(p) 4. Find the integrals a) Í (5ex + °) dx b) § 4x(3 - 7x) dx c) [ 3x6-x f * dx 5. If the marginal Revenue of producing x units of a commodity is given by R'(x) = 400x – 0.4x and no revenue results at a zero production level, find: a) the Revenue function R(x) and b) the Revenue of producing 100 units

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

(2t+1) Find the derivative of S (t) = e6t eot (3(2t + 1)2 (2))- (2t + 1)³ (e* (6)) (e6t)2 s' (t) = (2t + 1) (et (6)) – eôt (3(2t + 1)² (2)) (e6t)2 s'(t) : e6t (3(2t + 1)(2)) – (2t + 1)³ (e®' (6)) (ebt)2 s'(t) = ebt (3(2t + 1)2 (2)) – (2t + 1)³ (et) (e6t)2 s'(t) =