1. The derivative of f(t) = (4t² - t)(t - 8t2 + 12) is f'(t) = 20t* – 132t³ + 24t2 + 96t – 6. %3D

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...
icon
Related questions
Question

Solve the following: Thank you

1. The derivative of f(t) = (412 - t)(t³ – 812 + 12) is f'(t) = 20t4 – 132t³ + 24² + 96t – 6.
2. The derivative of y = (1 + Vx3) (x3- 2 V) is y'=-3x+- 3x5- 2z2 -11x.
3. The derivative of h(z) = (1 + 2z + 3z?) (5z + 8z? - z³) is h'(z) = -15z + 88z + 90z?
+ 36z + 5.
Transcribed Image Text:1. The derivative of f(t) = (412 - t)(t³ – 812 + 12) is f'(t) = 20t4 – 132t³ + 24² + 96t – 6. 2. The derivative of y = (1 + Vx3) (x3- 2 V) is y'=-3x+- 3x5- 2z2 -11x. 3. The derivative of h(z) = (1 + 2z + 3z?) (5z + 8z? - z³) is h'(z) = -15z + 88z + 90z? + 36z + 5.
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
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: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning