Question: FIND THE DERIVATIVE USING THE DEFINITION. If f ( x ) =4 x 2 4/ x , find f' (2) and use it to find

FIND THE DERIVATIVE USING THE DEFINITION.

Iff(x) =4x24/x,

findf'(2) and use it to find an equation of the tangent line to the curvey=4x24/x

at the point (2,14).

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!

Q:

48. (a) Find the asymptotes of the graph of f ( x ) = 4 - x 3+ x and use them to sketch the graph. (b) Use your graph from part (a) to sketch the graph of f'. (c) Use the definition of a derivative...

Q:

Tutorial Exercise Find the derivative of the function. 9x F( X ) = 4 - tan(x) Step 1 9x The function f(x) = is a quotient, so we'll need to use the Quotient Rule, which states that 4 - tan(x) df( x)...

Q:

Show work, thank you :) For #3 and 4, answer parts a - d and show all of your work. 3. f(x) - 612-1 a) Find the derivative using the definition of a derivative, b) What is the slope of f (x) at x = -...

Q:

1) Find the derivative using the definition f (x) = x3 - 3x + 5 2) Find f'(a) using definition of derivative given f (x) = 3-x x+2 3) Given f(x) = vx -3 find the equation of the tangent line at...

Q:

f'(] ) =. 1. (1 point) Use the definition of the derivative (don't be f' (2) = . tempted to take shortcuts!) to find the derivative of the function f'(3) = f (x) = 9x +4vx. 4. (1 point) Let f(x) = x...

Q:

Help Problem 1 Use the limit definition of derivative to find the derivative of the function below. f (x) =3x2 +5 Problem 2 Given the function g(x) = 3x4 - In(2x + 5) a) Determine f' (x). b) Find the...

Q:

MATH 2433 Online - Fall 2015 Homework Week 7 Instructions Homework will NOT be accepted through email or in person. Homework must be submitted through CourseWare BEFORE the deadline. Submit the...

Q:

Question . 1 Consider the surface x + + Using a graphing tool . to sketch this Surface . Then . answer the following a ) . Find the equation of the tangent plane to this surface at the point (312, 2...

Q:

homework 1 question 1-4 DETAILS ASK YOUR TEACHER In the book, Calculus Diaries, How Math Can Help You Lose Weight, Win in Vegas, and Survive a Zombie Apocalypse, the author suggests a hypothetical...

Q:

1. Determine each derivative. a) y = e3x2-2x+1 b) f (x) = x3e2x - x2e-2x 2. Identify the coordinates of any local extreme values of the function y = ex and classify each as either a local maximum or...

Q:

For the cookie recipe experiment of Exercise 3, identify how Control, Randomization, and Replication were used.

Q:

1.) In determining monthly seasonal indexes for natural gas consumption, the sum of the 12 means for gas consumption as a percentage of the moving average is 11.95. To get the seasonal indexes, each...

Q:

After two times of failing an examination, an applicant for licensure in South Carolina must complete one year of additional training before being allowed the privilege of taking a third examination.

Q:

A small start up company is planning to launch their first new electric scooter model and the company intends to expand the range once established. The first scooter is lightweight (8kgs), and folds...

Q:

1. Discuss the following statements: (a) Its what you are best at that will be your downfall. (b) How can we learn but not learn? (c) Learning to see is different from seeing. (d) Creativity is...

Q:

2. In this chapter, the reader should reflect on the following concepts: The trimming effect, vision, steady course paradox, bottom line, prisoners dilemma, social dilemma, CI strategy, CCI strategy,...

Q:

3. In what way can preconceptions affect what we perceive in new situations?