Solve problem 5,6,7 and 8 Unit 2 Task 2: Chain Rule1. y = (4x² - 1)*y² 4 (4x²-1)³ · (8x)"y: 32x(4x²-1)³²2. y = (3x + x² +10)³y 3(3x+x²+10)(12x²+2x)y' = (36x³ +6x) (3x² +22² +10)²Differentiate each function. You are not required to simplify.3.yet (52²-7x) * ½ x (10x-7) *(10x-7)y' = 102-74. y=√x³-2xy²=56²³-4=23²³ 3y' = x ² = 2x² ³.-5. y=[(x²-3x)*+*²³6. y =√1+√8x-1y 1²) + (x-1)y'= 1 +7. y=[(x - 1)(2x³ + 1)]¹⁰8. y = (4x²-1)³ (5x³ + 2)*و من2x3

Answered: 6. y =√1+√8x-1 y 1$)+ (x-1) ¹4 y'= 1 +…

Math

Calculus

6. y =√1+√8x-1 y 1$)+ (x-1) ¹4 y'= 1 + 7. y = [(x-1)(2x³ +1)]¹0 8. y = (4x²-1)³ (5x³ + 2)*

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 7RE: Does the equation y=2.294e0.654t representcontinuous growth, continuous decay, or neither?Explain.

See similar textbooks

Related questions

Q: Evaluate lim X+0+ X-5 x(x + 1)

Q: Consider the function f(0) = 7sin²0 - 7cos0. a) Find f'(0) = 7 sin (20) + 7 sin (0) (b) Find the…

A: Consider the function f(θ)= 7sin2θ-7cosθ. a) Find f' b) Find the critical points on the interval…

Q: Consider the function g(t) (a) Find g '(t) = 6-1² (6+7²)² t 6 + t² (b) Find all critical points of…

Q: 14. Solve the initial value problem du = ² + 1 with y(0) dy = 1. dt Oy(t) = Oy(t) = t³+t-1 Oy(t) =…

Q: The region bounded by y = x and y = x² is rotated about the line x = 2. Which of the following would…

A: To find the volume of the solid obtained by rotating the region bounded by y=x and y=x^2 about the…

Q: Suppose y = sin(-5x² - 4x + 3). We can write y = sin(u), where u dy du dy d.x get dy da = dy du du…

Q: Find the local maxima, local minima, and saddle points, if any, for the function z = 5x³ - 30xy -…

Q: Use the information provided to write the equation of each parabola. Vertex: (-1,9), Focus: (-3, 9)…

Q: Find the LU factorization of A = -1 -21 -3-7 I₂ A = || 21 x2 = 40 1 0 1 3 -3 -7 -1 0 and use it to…

Q: 3. Consider the function A(x) = f cost sin³ tdt for x in [0, 2π]. Calculate A'(x), determine the…

Q: Consider the improper integral Justify your reasoning. (a) dr. Does it converge or diverge?

Q: Let F(t) = Find a parametric equation of the line tangent to r(t) at the point (-49, 648,- 4.394)…

Q: Write the equation of the sphere in standard form. 4x² + 4y² + 4z² = 24x - 4y - 28 Find its center…

Q: True or False? The function f(x)=√4-x2 is guaranteed to have an absolute maximum and minimum on the…

Q: The sequence {an} is defined by a₁ = 2, and an+1 for n > 1. Assuming that {an} converges, find its…

Q: (a) Solution: Try u = x + y. Then This is separable Thence 1 du dx u² = x² + C 1+ dy dx dy dx = =…

A: Student is not able to understand few steps in the solution so I just have to add these steps.

Q: 1. Determine if the integral is convergent or divergent. If it is convergent, evaluate the integral.…

A: As per the guidelines I am answering 1 question. Nn integral is called convergent if it has finite…

Q: Evaluate the double integral over the given region R R (18y²-14x) DA R: 0≤x≤4, 0≤y≤2

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of 3…

Q: (It sinx) dx + #* HN (It sin x) dx

Q: A 13 foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

Q: What is the volume of the solid generated when the region bounded by the graph of y = 4x, the…

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Solving the following problem

Q: Consider the function f(0) = 7sin²0 - 7cos0. (a) Find f'(0) = 7 sin (20) + 7 sin (0) (b) Find the…

A: f(θ)=7sin2(θ)-7cosθ(i) d dθ(sinθ)=cosθd dθ(cosθ)=-sinθ

Q: A study investigating the relationship between diet and weight in adults found that the weight W of…

A: A study investigating the relationship between diet and weight in adults found that the weight W of…

Q: Write out the form of the partial fraction decomposition of the function appearing in the integral:…

Q: Estimate the area under the graph of F(X)=X2 +6X+11 over the interval [0,8] using four…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: A drug is administered to a patient through an IV drip. The drug concentration (in milligrams/…

Q: You arrive at the final gate, which leads into a building-like structure. You hope that the…

A: The given data is: fx=ax lnxgx=lnx512x39hx=lnxeπ

Q: (a) Assume that oil spilled from a ruptured tanker spreads in a circular pattern whose radius rate…

A: Note:- Since you asked multiple questions ,according to our policy we can solve only first question…

Q: Find the gradient vector field of the function f. · cos(1) f(x, y, z) = 4x cos( Vf(x, y, z) = 4 cos…

Q: Find the derivative of y = x²ª dy/dx =

Q: Find all critical points of g(t) t = t = = This critical point is ---Select--- (smaller value)…

Q: Please show your work (i.e., provide an explanation of your final solution) to receive credit. If…

Q: Problem #1: Which of the following planes are parallel (or equal) to the plane x + 4y +32 = 2?…

Q: aluate the limit lim x→1 ƒ(x)-ƒ(1) x-1 using the limit toolkit developed in class

Q: Suppose the solid W in the figure is a cone centered about the positive z-axis with its vertex at…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given two points ( 3 , 2 , 1 ) & ( 3 , 1 , -7 )

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

Q: Find the critical points in the domain of the function f(x) = 8x³ - 7x.

Q: F(x,y) = 1 - e^-(x+y). I need to find the partial derivative defined by this expression, how do I do…

A: The Power Rule: ddxxn=nxn-1 The Chain Rule: fgx'=f'gx·g'x And Use the common derivative. ddxex=ex…

Q: Let r(t) = (5t51, - 4e5t, 2 sin(t)) Find the unit tangent vector F(t) at the point t = 0 T(0) =

Q: Part 1 Differentiate f(x) Answer: Part 2 df dx f'(x) = x³ - 4x + 5 x3 If f(x)=√x sinx, find f'(x).

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: In 1997, researchers at Texas A&M University estimated the operating costs of c sizes. A quadratic…

A: Given: c(q)=0.021q2+26.9q+313

Q: Hello! I am wondering how do you graph an equation like y=-4/x+7. I am confused on where these…

A: Please see the below picture for detailed solution.

Q: Write the parametric equations for the tangent line to the curve of intersection of surfaces…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The derivative graphs for the functions f, g, h, and p over some interval are shown below. Use these…

A: The given data is: The derivative graphs for the function f, g, h, and p over some interval shown…

Q: Let f(x) = 5x + 4 and g(x) = ax + c where a and c are non-zero constants. Use lower case letters in…

Q: for the following question above help me solve f

A: Given : for x<-1f'(x) = ddx(-x+1)=-1for x>-1f'(x)=ddx(-x2+3)=-2x

Q: Where does the line x = 5+1, y = 9-1, z = 21 intersect the cylinder x² + y² = 196? Enter your…

Question

Solve problem 5,6,7 and 8

Unit 2 Task 2: Chain Rule
1. y = (4x² - 1)*
y² 4 (4x²-1)³ · (8x)
"y: 32x(4x²-1)³²
2. y = (3x + x² +10)³
y 3(3x+x²+10)
(12x²+2x)
y' = (36x³ +6x) (3x² +22² +10)²
Differentiate each function. You are not required to simplify.
3.
yet (52²-7x) * ½ x (10x-7) *(10x-7)
y' = 102-7
4. y=√x³-2x
y²=56²³-4=23²³ 3
y' = x ² = 2x² ³.
-
5. y=[(x²-3x)*+*²³
6. y =√1+√8x-1
y 1²) + (x-1)
y'= 1 +
7. y=[(x - 1)(2x³ + 1)]¹⁰
8. y = (4x²-1)³ (5x³ + 2)*
و من
2x3

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here