Question: For the following exercises, use the definition for the derivative at a point to find the derivative of the functions. f(x) = 4/3 x

For the following exercises, use the definition for the derivative at a point x = a, lim xa f(x) - f(a) x - a to find the derivative of the functions.

f(x) = −4/3 − x²

x = a, lim xa f(x) - f(a) x - a

Step by Step Solution

★★★★★

3.35 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

fx43x 2 falim xa ... View full answer

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 Precalculus 1st Questions!

A subcontractor needs to install flooring. In the area has old vinyl tile, it must be removed and replaced by with new vinyl tile. Additionally, the concrete slab needs to be topped with ceramic...

For the following exercises, use the definition for the derivative at a point to find the derivative of the functions. f(x) = 5x 2 x + 4 x = a, lim xa f(x) - f(a) x - a

For the following exercises, use the definition for the derivative at a point to find the derivative of the functions. f(x) = x 2 + 4x + 7 x = a, lim xa f(x) - f(a) x - a

How are 54, 56, 62, 64, and 70 computed For the following exercises, use the definition of a derivative to find f' (x). 54. for) = 6 55. f(x) = 2 3x 56. f(x) = % + 1 57. for) = 4x2 58. for) = 5x x2...

please help me with this!! I don't need the work just the answers please!! Estimate the slope of the graph at x = 0. Use the graph below to find the slope of the function at x = 1. Which line is the...

How are question 60, 62, 70 and 98 computed? 98. Suppose the total profit of a company is y = P(x) thousand dollars when x units of an item are sold. a. What does w for 0 O h 70 lim 0030: + h) + 1...

Part 2: The derivative function Use the definition of the derivative to compute the derivative of the function f (x) =1 - 5x at an arbitrary point . Evaluate the limit by using algebra to simplify...

Please help me solve. For the following exercises, use the definition of a derivative to find f' (x). 3.2 55. f(x) = 2 - 3x 60. f(x) = Vx -6 3.3 For the following exercises, find f'(x) for each...

For the following exercises, use the definition of derivative to calculate the derivative of each function. f(x) = 2 + x/1 x lim h0 f(x+h)-f(x) h

For the following exercises, use the definition of a derivative to find f ' (x). 62. f(x)=x+x1

For the following exercises, use the definition of a derivative to find the derivative of the given function at x = a. f(x) = 3 5 + 2x

Find the inverse of [[-7,-6],[-7,-6]]. If the inverse does not exist, select "undefined".

STYLIZE GUI USING CSS AND PRESENT APPLICATION TO STAKEHOLDERS Overview The visual appearance (look and feel) of an application greatly affects its acceptance and usefulness. You need to ensure that...

An aggressive equity mutual fund with relative high allocations to the technology sector will most likely have a beta: Group of answer choices Equal to 0 . 0 . Equal to 1 . 0 . Greater than 1 . 0 ....

1. Some managers consider performance management to be a useful tool, while others believe it is a waste of time. It is important for HR professionals to understand current opinions regarding this...

What is the probability of having a live birth (L) at a second birth given that the outcome of the first pregnancy was a stillbirth (D), that is, death? Demography A study based on data collected...

Answer Problem 3.93 if the outcome of the first pregnancy was a live birth? Refer to Problem 3.93, What is the probability of having a live birth (L) at a second birth given that the outcome of the...

What is the probability of 0, 1, and 2+ additional pregnancies if the first birth was a stillbirth? Demography A study based on data collected from the Medical Birth Registry of Norway looked at...

34. Fatima wants to buy a boat that is available at two dealerships. The price of the boat is the same at both dealerships. Middlefield Motors would let her make quarterly payments of 4,750 dollars...

Annualizing returns and volatility: a. If average daily returns are 0.0004 (0.04%) and the standard deviation of daily returns is 0.01 (1%), calculate the annualized return and annual volatility. b....

Tailor Johnson, a U.S. maker of fine menswear, has a subsidiary in Ethiopia. This year, the subsidiary reported and repatriated earnings before interest and taxes (EBIT) of 255 million Ethiopian...