F(x)=1/3x^3-1/2x^2-12x+4Domain [-4,5]F’(x)=x^2-x-12 O A. The absolute maximum iswhich occurs at x =(Round the absolute maximum to two decimal places as needed. Type an exact answer for the value of x where the maximun occurs. Use a comma toseparate answers as needed.)O B. There is no absolute maximum.

Answered: F(x)=1/3x^3-1/2x^2-12x+4 Domain [-4,5]…

Math

Calculus

F(x)=1/3x^3-1/2x^2-12x+4 Domain [-4,5] F’(x)=x^2-x-12

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...

See similar textbooks

Related questions

Q: Find the derivative of f(x) = (6x² + 6x – 4)arctan x 12x+6 бх2+бх-4 1 (6x2 + 6x – 4)aretan x…

Q: Differentiate F(x)=x sec^-1(x³)

A: Given, F(x)=xsec-1(x3)

Q: Find the partial derivative. 3 (x² +3x-3y) 2.

A: Given z = x2+3x-3y4 We have to find ∂z∂x.

Q: 9-x² dydx. 2

A: x = 0 r cos θ = 0 θ = π2 x = 322 r cos θ = 322 r = 322 sec θ y = x r sin θ = r cos θ θ =…

Q: Find y' by in differentiation 1.) y= (x^2 + 1)^4 (x^3-10)^5 2.) y= 6x^2 (x+5)^3 / (2-x)^2

A: (1) ddxx2+14x3-105 Apply the product rule: f·g'=f'·g+f·g' f=x2+14, g=x3-105…

Q: 10x-9y-0-11 the same as -10x-9y+11? Or is it just -10x-9y-11 when finding Partial Derivative?

A: Reprieve is to clarify the doubts.

Q: find the derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule]

Q: Find the derivative of f (x) = V3x² In(3x²). 2/3x2 A 3x In(3x²) + V3x2 2 + 3x In(3x²) В

A: Given thatfx=3x2ln3x2To find : derivative of…

Q: at the point (2, –1). Find the maximum rate of change of f(x,y): x2 + Y

A: For maximum rate of change we need to calculate magnitude of gradient bat point (2,-1)

Q: find the derivative of f(x) = (x²+4)(3x³ - 2x) at the point x = - 3[ use product rule] %3D B.

A: We have to find the derivative

Q: 1. y = 8x5 - 2021, 5th derivative 2. y = x5 - 3x4 + 6x³ - 9x² + 12x - 15, 4th derivative 3. y = 2x2…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: f(x)= (7x¹-5x-2)

Q: aresin (2x-1) = 1-x 2 arctan

A: Substitute x = cos^2(theta) and simplify the equation.

Q: Determine if the critical points of the function f ( x ) = x³ + x² - x - 2 are maximum or minimum…

A: The given function is: fx=x3+x2-x-2 As we know that; To calculate the critical point, f'x=0.

Q: Find the derivative of f(x) = (6x² + 6x – 4)arctan x - 1 (бх? + 6х — 4)arctan x(- In(6x2 + 6x – 4) +…

A: Given function is y=6x2+6x-4arctan x Taking log to each side, we get lny=ln6x2+6x-4arctan x We…

Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

Q: 4 6. ν- x3

Q: How do you find the derivative of f(x)= -2(3x^2-1)^3

Q: Find the derivative of the function. 4 - 4x – x2 f(x) x2 - 6 — 4х — 2 - -1+ f'(x) = -x – 6

Q: Find the derivatives of the functions in Exercis y = (2x - 5)-1(x2 - 5x)6

A: Given function - y = 2x-5-1x2-5x6y = x2-5x62x-5 ........(1) Identity to be used -…

Q: Find the equation of the line tangent to f(x)=3x2 +4x+5 at the point (0, 5)

A: Given : f(x) = 3x2 + 4x + 5 A point (0, 5) To find the equation of the tangent line.

Q: second derivative of x^5 +16y^8 -2x^7

Q: What is the derivative of the function r (x) 5 (9x²-2) (5x+7) (3x³-2x+2) 9x²-2 5 5x+7 3x³-2x+2 5…

Q: find the derivative of f(x) = (x² +4)(3x³-2x) at the point x =- 3[use product rule]

Q: 3rd derivative of 5x^4+6x^-4-4

A: Given the function 5x4+6x-4-4. We need to find the third derivative of the function.

Q: How do you integrate 25e^-x?

Q: Find the derivative of f(x) = (6x² + 6x – 4)arctan x (6x2 + 6x – 4)arctan × (In(arctan(x))- 12x-4…

A: Given function is fx=6x2+6x-4tan-1x. To find derivative of the given function. Solution: Given…

Q: find the derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule] В I !!

Q: find the derivative of x^3 + 4x^2+x-2/x

Q: A curve passes through the point (2,5) and the gradient of the curve at any point is given by…

Q: Find the derivative of f(x) = -2x Or) - 6x2 Of (x) = -6 x2 Of (x) = -6 x3 %D Or-6x* f (x) = 6 x4 %3D

Q: 2- 3x +8 2-X2C

A: Use chain rule to find the derivative. The formula for differentiation is ddxxn=nxn-1

Q: derivative of 2x^2

A: Given, To evaluate 'derivative of 2x^2

Q: 5. ƒ(x) = (x²+x−3)√√x²+x=3

Q: Find the relative extrema using both First and Second Partial Derivative test f(x) = 1+8x - 3x2

A: i) The given function is fx=1+8x-3x2. Note that, the above polynomial function is real and defined…

Q: Find the derivative. ex - (א)h 7+א7 eX-1(7x2 - 14x + 7) (7x2 + 7,2 2-14+7א7 ex. (7x2 + 7,2 eX(7x2 -…

Q: Use derivative rules to find f'(x). 4. f(x) = (2x² - 3)(3x – 1) %3D

Q: Solve using partial differentiation

A: Given that uxy=4eycos2x given that y = 0, ∂u∂y=cosx and u=y2…

Q: 1- Genx :1 CSCX 2 CSCX=1 senx CSCX = I CSCX = 2 %3D 2- Cotx = 3 tanx= 3J3 3. 3 tanx = Cotx 3. 13 353…

A: first one is wrong.because secx=1/cosx.and sinx=1/cosec x.

Q: Find the derivative. 4- 3 y 3 5x 4x+3x2 20x2-15x2 -7 5x O4x3+ 3x2-7 ,家 4x²+3x2 20x-15x4

A: Option D is correct.

Q: i Explain. Reducible the working procedure of Equation to Homogencous. form.

A: Given: Procedure of equation Reducible to Homogeneous form.

Q: derivative of 2x^5+5x^3+6=

A: We have to find the derivative of the given function.

Q: Find the derivative: 1. f(x) = √(-2x2+1)

A: Given fx=-2x2+1 Or you can write it as fx=1-2x2

Q: The first derivative of f(x) = (5x* – 6x)/3 will be 20 A. Gx* - 2) (5x* – 6x)i B. (20x³ – 6)(5x* –…

Q: The Area of a triangle with vertex (4, 3), (4, -3) and (7, -3) can be obtained through double…

Question

F(x)=1/3x^3-1/2x^2-12x+4 Domain [-4,5] F’(x)=x^2-x-12

O A. The absolute maximum is
which occurs at x =
(Round the absolute maximum to two decimal places as needed. Type an exact answer for the value of x where the maximun occurs. Use a comma to
separate answers as needed.)
O B. There is no absolute maximum.

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Implicit Differentiation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.
Write a CNC G-code program to machine the part in the following figure, so that the tip of the tool follows this path: rapid movement to a point above P8, with z=4 . using absolute dimensioning change to tool "4, with a clockwise spindle speed of 2500 rpm, with coolant on and a feed rate of 14 in./min using incremental dimensioning -rapid movement to 4 in. above P1 -rapid movement to lower the tool to be 0.1 in. above the top surface of the part -move the tool to be 0.5 in. below the top at a 14 in./min feed rate -follow the path around the perimeter to points P2 through PI, ending at P1, using the 14in„/min feed rate turn off the spindle and coolant use absolute dimensioning to return to the start point end the program
Assume that an object tossed vertically upward reaches a height of h feet after t seconds, where h=100t16t2. What is that maximum height?
If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?