(a) Find the first and second derivatives of the following function (1² + x)(x² – x + 1) f(x) = %3D dy (b) If x³ + y³ = 16, find the value of dx? at the point (2, 2). %3D

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
icon
Related questions
Question
(a) Find the first and second derivatives of the following function
(x2 + x)(x² – x + 1)
f(x) =
x4
dy
(b) If x³ + y3 = 16, find the value of
dx?
at the point (2, 2).
%3D
Transcribed Image Text:(a) Find the first and second derivatives of the following function (x2 + x)(x² – x + 1) f(x) = x4 dy (b) If x³ + y3 = 16, find the value of dx? at the point (2, 2). %3D
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage