f(x) = 4x^2+5x+6Use 5 long method for solution Use 6-long method for checking of solution Please refer to the image below for example Example3. y = -x-5ddx→y'=-1-0→y' = -1Differentiate the following functions:4. f(x) = x³du dvdx dxdxdx→ (u²) = nun-1 du→ f'(x) = (3)(x³-1)→ f'(x) = 3x²6 long method for checking of solution(u±v) = ± Example1. f(x) = x - 5f(x + h) = f(x)f'(x) = lim= lim! hlim= lim(x+h)-5-(x −5)x+h-5-x+5hx-x+h-5+5hlimh-oh= lim 1h→0Therefore f'(x) = 15 long method

Answered: Image /qna-images/answer/c485d4a7-f248-4812-ae9b-ab95e583add9.jpg

Answered: f(x) = 4x^2+5x+6 Use 5 long method for…

f(x) = 4x^2+5x+6 Use 5 long method for solution Use 6-long method for checking of solution Please refer to the image below for example

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: What "log base" should you use to solve this equation? 76x+2 = 715

Q: 3. The cost of hiring a car is summarized in the table alongside. Let $C be the total cost of hiring…

Q: Solve for x 102-7 O x = -4 O x = 3 O x = 6 O x = 10 = 1000

A: Here we have to choose the correct option.

Q: Write the equation of a sine or cosine function to describe the graph. AL 3 6 IL 6 B N P +=16 +=13…

Q: The sequences below are either arithmetic sequences or geometric sequences. For each sequence,…

Q: A right triangle has side lengths a, b, and c as shown below. Use these lengths to find sinx, cosx,…

Q: Find the first four terms of the sequence given by the following. 4n an n = 1, 2, 3, ... 3n+2 0.000…

Q: log3 [X² 4²³) 7 A) 9 log3 (x) + 8 log3 (y) - log3 (7) C) (9 log3 (x))(8 log3 (y)) - log3 (7) O B) 9…

A: Using Log(xy)=log(x)+log(y) And log(x^a)= a log(x)

Q: As shown in the figure below, Josh is standing 84 feet from the base of a leaning tree. The tree is…

A: answer is in next step. please give a like !!

Q: 8. To extract roots from the radical √ab¹², Jenna wrote the following: √a6b¹2 = √a √6¹2 = = √(a³)²…

Q: 3. If the line through (-1,3) and (-3,-2) is perpendicular to the line through (-7,4) and (x,2),…

A: given points on a line (-1,3) and (-3,-2)slope of this line =y2-y1x2-x1

Q: Q6: Find the Eigen-values and eigenvectors of matrix A: -1 2 0 -1 0 1

Q: dy x and y are functions of a third variable t. If √√x + √y = 5 and dt = 2, find - dx dt when x = 1

A: Solving the problem by finding the required value.

Q: Write the given system of equations as a matrix equation and solve by using inverses. X₁ - 2x₂ K₁…

Q: 1. The net price of a wall clock is P287.00. If the discount granted was 18%. Find: a. Net Price…

A: The net price of a wall clock is P287.00. If the discount granted was 18%. To find a Net Price Rate…

Q: What is the value of x? X 45° 45% 5

A: As it is a right angle triangle, sin (45°) = opposite side ÷ hypotenuse This can be used.

Q: At a grocery store in New Zealand, kiwifruit costs 1.95 New Zealand dollars (NZD) per kg. The…

A: Given: kiwifruit costs 1.95 NZD.

Q: 2. Which of the given values are in the interval (-3, 5)? Circle all that apply. x=8 x = -2 x = -3 x…

Q: Solve for x 5 60.3 degrees O 80.4 degrees O 117.1 degrees O 130.5 degrees X 10 6

Q: If a person is paid $490 for 22 hours of work, what is the person's hourly wage?

Q: Which equation shows the correct modification of the following equation? 64¹ = 256¹+1 O 4³ 44 = ○…

Q: 25] Find Maclaurin's series f(x) = e√²x

Q: QUESTION 6 Below are the ages of 15 students in a college class. What is the mean age? ⒸA. 20.6 B.…

A: A detailed solution is given below.

Q: AE I-M= 0.3 0.4 =M 0.725 0.3 (Type an integer or decimal for each matrix eleme

A: I-M=1001-0.30.40.7250.3=1-0.30-0.40-0.7251-0.3=0.7-0.4-0.7250.7

Q: The value of a rookie hockey card is modelled by the function = 16log24 x logx³, where x is the…

Q: Compute the sums below. (Assume that the terms in the first sum are consecutive terms of an…

Q: A 15 ft ladder leans against the side of a house. The top of the ladder is 14 ft off the ground.…

Q: Given the sets A = {1,2,3} and B = {-1, -2, -3}.

Q: Choose the letter of the correct answer. 1. Which of the following is an equation that involves x,…

A: On analysing these questions we will get

Q: Q2. (a) Let a and 3 be the roots of the equation x² - 4x + 2 = 0. Without solving the equation,…

Q: 4 7 x+2 x-2 + 4x + 24 2 x² - 4

Q: A parabola has a focus of (4,5) and a directrix of y=1. Write its equation in the form of y-k =…

Q: 2. What is the first step to solving the following system using elimination? x + y = 10 2x - 3y = 6…

Q: - Consider f(x) = 4 sin(2x) +2: A. What are the transformations to sin(x) that have been done to…

A: We have to find the transformation

Q: Courses Math Pre- 7,760/ Mastery po Course su Factors and Patterns Ratios and X Search | Khan…

A: Let's solve.

Q: 6 2 M -q - X-3 =

A: The given equation, 6m2-9-1m-3=1

Q: Solve for x. 3 √√√4x - 12 = 2 1. X=

Q: Write an equation of the form y=a sinbx or y=a cosbx to describe the graph below. y NA I 4 8 8 4 8…

A: The general equation of a sine function is y=a sinb(x-h)+k a is amplitude of the function. b=2πP P…

Q: 2 Find the volume of the parallelepiped whose edges are represented by A=i-13) + 4k, B = 31+2j-7k…

Q: 2.6+3.2

Q: After a 9% price reduction, a boat sold for $30,940. What was the boat's price before the reduction?…

Q: 1) From April through December 2000, the stock price of QRS Company had a roller coaster ride. The…

Q: Two sociologists have grant money to study school busing in a particular city. They wish to conduct…

A: We have to find the number of hours.

Q: 6. Place a check mark (✔) in the appropriate box to show whether there is no solution, exactly 1…

Q: If a die lands on the number 2, you win $100. Otherwise, you lose $15. What is he expected value?…

Q: At a grocery store in New Zealand, kiwifruit costs 1.95 New Zealand dollars (NZD) per kg. The…

A: Given problem:- At a grocery store in New Zealand, kiwifruit costs 1.95 New Zealand dollars (NZD)…

Q: A scientist is developing a parabolic object that is made up of mirrors and uses the suns rays to…

A: We have to find value of A.

Q: through

A: We will solve the problem.

Q: Solve the following equation. Check the solution. 1 1 22 + = x-11 x+11 x². - 121 ... Select the…

A: Given, 1x-11+1x+11=22x2-121 (1)

Q: Equations must be used for all answers. No Equations will 1. A runner begins training by running 5…

A: NOTE: Refresh your page if you can't see any equations. . 5 miles on the first week 6.5 miles on the…

Question

f(x) = 4x^2+5x+6

Use 5 long method for solution
Use 6-long method for checking of solution
Please refer to the image below for example

Example
3. y = -x-5
d
dx
→y'=-1-0
→y' = -1
Differentiate the following functions:
4. f(x) = x³
du dv
dx dx
dx
dx
→ (u²) = nun-1 du
→ f'(x) = (3)(x³-1)
→ f'(x) = 3x²
6 long method for checking of solution
(u±v) = ±

Example
1. f(x) = x - 5
f(x + h) = f(x)
f'(x) = lim
= lim! h
lim
= lim
(x+h)-5-(x −5)
x+h-5-x+5
h
x-x+h-5+5
h
lim
h-oh
= lim 1
h→0
Therefore f'(x) = 1
5 long method

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Using 5 long method for solution

VIEW

Step 2: Using 6 long method for verifying solution

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

compute lim as x goes to infinity of ln(x)^1/ln(x)
Find the limit. Lim x→∞ (1+2x)5/2 ln x
Find the limits limx→0+x (ln x)2
general question on why is the lim of x approaches positive infinity of ekx /xn =infinity and lim of x approaching negative infinity xn e-kx =0
Limit x approaches to + infinity 3x+1 ÷ 2x-5
1. Find the absolute maximum and minimum values of f(x)=10x(2-lnx) on [1,e^2] 2. Find the limil. Uisng L'Hopital's Rule : lim x arrow 0 sin^2(3x)/4x
What can we conclude about lim(x,y)->(0,0) f(x,y) from the given function and its level curve graph?
Ali is trying to find the limit of a function which is expressed as L = lim x→0+ (1 + x)1/x . From his understanding, the quantity (1 + x), must be greater than 1 for x > 0. Furthermore, the power1 / x is going to infinity as ? approaches 0 from the right. So L is the result of taking a number greater than 1 to higher power, therefore L = ∞. On the other hand, he sees that (1 + x) is approaching 1 as x approaches 0, and 1 taken to any power whatever is 1. Ali concluded, L = 1. Help Ali by pointing out to him the error of his ways.
5x−12/x^2−x−42 has vertical asymptote(s) at x=
limx → 1 (x-2) / (x-1)2 how do I calculate the following limit without using the L'Hospital's rule
Find limit of lim x-->0 of f(x)= (e3x-3x-1)/(4x^2)
Find the limit. lim x--> infinity ln (3x2-1/x2+1)