Question: Consider the function f(x) = 4J3? 3. (a) Simplify the following difference quotient as much as possible f(16 + h) f(16) T = i (b)

Consider the function f(x) = 4J3? 3. (a) Simplify the following difference quotient as much as possible f(16 + h) f(16) T = i (b) Use your result from (a) and the limit definition of the derivative to calculate , _ . f(16+h)f(16) _ f-2sh 1 (c) Use your answer from part (b) to find the equation of the tangent line to the cunre at the point (16, f(16)). y=

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!

Consider the function f(x) = x2 x + 1. (a) Simplify the following difference quotient as much as possible f(X+h) - f(X) = h 2 (b) Use your result from (a) and the limit definition of the derivative...

explain Considerthe function x) 2 Via? + 3. (a) Simplify the following difference quotient as much as possible f(22 + h) f(22) h {to} Use your result from (a) and the limit denition of the derivative...

Let f(t) = t+8 (a) Simplify the following difference quotient as much as possible f (t + h) - f(t) h (b) Use your result from (a) and the limit definition of the derivative to calculate f' (t) = lim...

MATH 1P97, WINTER 2016-17 ASSIGNMENT 3 Due Date: Monday March 6, 2017 at 11:59 p.m. Home assignments are individual submissions. While students are encouraged to work together, they cannot submit...

Name class date Precalculus Unit 4 Practice Lesson 21-1 5. Make sense of problems. Suppose you know that cos u 5 20.25. 1. Make use of structure. Express each trigonometric function as a reciprocal...

Name: Blast from the Past #6-Classwork Must show work Use notebook, Canvas class has typed notes (FWISD), TinyUrl.com/HaqueAlg Problem 1 (show all your work) USE LESSON 4 (Canvas/Google Drive) 2x -...

Calculus 3 (Math-UA-123) Fall 2016 Homework 6 Due: Thursday, October 27 at the start of class Please give complete, well-written solutions to the following exercises. 1. Consider the function f (x,...

Can i get help with those 30 questions ? MATH 280 calculus I . NG beginning. Goals & stand Aligned with 2 Question 1 10 Points VI Attempts 3 attempts left A research lab grows a type of bacterium in...

4) Find the derivatives of the following functions. DO NOT give decimal approximations. (a) f(x) =-5x5 - 7x10 (b)g(x) = 4Vx -- (c) If h(x) = 3x2 - 2x + 3, find h'(0) (d) L(x) = 4x5 Vx+ -6 5) Find the...

Consider a function f (x) with the following properties: f (x) is continuous at all values of x except for ?2 and 2 f 0 (x) > 0 on the intervals (??, ?5), (0, 2), and (2, 7) f 0 (x) 0 on the...

You have been saving for retirement and have already saved $500,000. You know that your account earns 6% apr. Suppose you want to be able to make withdrawals for 25 years. How much will you be able...

List five vectors in Span (v,v). Do not make a sketch. 8 HHI V = 2 V = 4 List five vectors in Span {V, V}. -6 0 (Use the matrix template in the math palette. Use a comma to separate vectors as...

News has just hit Wall Street that Acme Brick, a company with 1 0 million shares outstanding, unexpectedly won a lawsuit in court against Amazon Brick. In the news announcement, it was revealed that...

If there is a maturity risk then the Expectations Theory does not apply or is not valid. A one-year Treasury security has a yield of 4.00% and a two-year Treasury security has a yield of 4.80%....

Assume that you are preparing a visual aid that will not fit on the page with the text that relates to it. Where would you place this visual aid in the report? (Objective 2)

Construct a graph for the following data. Include appropriate content, placement, and format for the number of the visual (assume it is the first visual in a report), title, and source note. Assume...

You have several items to compare differences in quantities. What type of graph would you prepare? Why? (Objective 4)