3. Consider the function y = r+3z² + 1 dy (a) Compute the derivative dz (b) Determine the critical numbers of y. (c) Make a number line and use test values to determine the intervals on which y is increasing and decreasing. (d) Use the first derivative test to classify the local extrema of y.

3. Consider the function y = r+3z² + 1 dy (a) Compute the derivative dz (b) Determine the critical numbers of y. (c) Make a number line and use test values to determine the intervals on which y is increasing and decreasing. (d) Use the first derivative test to classify the local extrema of y.

College Algebra

7th Edition

ISBN:9781305115545

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 2E

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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3. Consider the function y = r3+3x2 +1
dy
(a) Compute the derivative
dr
(b) Determine the critical numbers of y.
(c) Make a number line and use test values to determine the intervals on which y is increasing and
decreasing.
(d) Use the first derivative test to classify the local extrema of y.

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