Question: 1. (5 points) Let y = f(x) = (x3 -1)2 = x6 - 2x3 +1 (a) Find the derivative of y using f(x) = x6

1. (5 points) Let y = f(x) = (x3 -1)2 =

1. (5 points) Let y = f(x) = (x3 -1)2 = x6 - 2x3 +1 (a) Find the derivative of y using f(x) = x6 - 2x3 + 1. (b) Find the derivative of y using f(x) = (X3 - 1)2 and the chain rule (u substitution). (0) Do your answers from (a) and (b) match? (yes or no)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

please solve all the questions in the images! Thank you! 1. Find the particular solution to y ' = 3sin(x) given the general solution is y = C - 3cos(x) and the initial condition y(TT) = 1. (5 points)...

1. (5 points) Let x22 if x3. Please answer the following two questions with justication. ' ' ? (a) Does 31:12}, f (x) ex1st. (b) If f continuous at x = 3? 2. (5 points) Let x - 4 f ( x ) = x2 - 16...

8/14 OL1 UMUC Math-107, Quiz #3 Instructor: Killough Instructions This quiz is worth 100 points. Individual point values for each problem are shown next to the problem number. The material is ONLY...

UIZ # 3 Problems 3 1. Show that the function f ( x )=e x +2 x+1 is one-to-one. Graphing does not count as proof. (Hint: Use the derivative of the function.) 2. Find a formula for the inverse function...

5. Using the graph of the function f(x) = x3 - x + 1 i. Find approximate x values for any local maximum or local minimum points. ii. Set up a table showing intervals of increase or decrease and the...

II Please Show Work! 1 tex 1. Calculate the derivative of f (x) = 1 + e2x' 2. Find an equation for the line tangent to the graph of f(x) = x2 In x at x = e3. 3. Evaluate the indefinite integral / xe...

,,,,,7 7,7, *****5* ,nnuiin, 7,,i, * 7,,ii, iniid, * ,,,,,, Answer ALL Questions. Work must be shown to receive full credit. Question #1: Consider the quadratic function: f (x) = x3 2x +3 . a....

Please answer all parts with working Example 4) For the function f(x) = 2x3 - 5x + 3, find the following: Confirm c) on your calculator. c) the equation of the tangent a) the average rate of change...

Its economics kindly give correct solutions only Application: Network externalities 1. Consider the following model of demand for a software product such as an operating system that we'll call OS."...

Math for Econ I, Homework Assignment New York University Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work, you will not be given any...

The following business transactions were completed by Fickle Realty during August 2006: Aug. 1. Purchased office supplies on account, $1,760. 2. Paid rent on office for month, $2,500. 3. Received...

VMware does binary translation one basic block at a time, then it executes the block and starts translating the next one. Could it translate the entire program in advance and then execute it? If so,...

Evaluate the following limit . Use FH pital ' s Rule when it is convenient and applicable. lim x 0 x 1 4 x lim ? x 1 4 x = ( Type an exact answer. ) x 0

Lets assume that hardware equipment needed for your project has been delivered by your suppliers three days later than planned due to logistical issues. As a result, your project is three days behind...

Given a 5x6 matrix A and a vector b in R Such that the matrix solation, then the columns of A must equation Ax = b has a span Unique True or false? |. ThuE 2. FALSE

The columms ofa matrix A ace becarly mdependent if the equation Ax-o has the trivial sohtio - false? True or l. True 2. False

Given 4 2 deterise al uales of A far which we is a wertor all values of 1 for is a Weetor 2 in

For which value cs) f I will the vecdors Vg = A+ be 1. d=1 2. -3 4.1 5. +-2 6. 1=-2

Create a 200 word summary on the Juvenile Justice System than and today. Describe The Juvenile system and provide a generalizable definition. Highlight the issues in the Juvenile system and why this...

Distinguish between presentvalue, current-cost and historical-cost asset measurement methods?

Describe the management accountants role in designing incentive systems

What is leadership and what does it mean for a leader to be effective? LO1.