For the function g(x) = 3x4 - 2x2 + 6 ,  find the intervals where the function is concave up and the intervals where it is concave down and any inflection points

Q: Find f"(x) for the function. f(x)=(7x^2-2)^6

A: Find f"(x) for the function. f(x)=(7x2-2)6  Derivative of y= (ax2 +b)n  y'= n(ax2 +b)n-1.(2ax)  And…

Q: For the function f (x) = x4 - 4x3 + 5, find the local and absolute extrema and any points of…

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Q: For the f(x) = x3 +3x + 6 determine the coordinates of the turning point(s) and any point(s) of…

A: The turning points of a function f(x) are those points where its first derivative is equals to zero.…

Q: The total revenue for Dante's Villas is given as the function R(x)=500x−0.5x2 , where x is the…

A: Given Rx=500x - 0.5x2

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A: Use the concept that at turning points the derivative of the function will be 0, as the slope will…

Q: For the function f(x) = x3/3-x2- 24x + 19 (i) Determine the turning points and the values of the…

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Q: If f(x) = 2x^2 - 3 and g(x)=2x^2+3x-5 , find 3g(-x) 0 f(x^2 -1)

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Q: For the functions f(x) = x² - x - 6 and g(x) = x - 3, to: ○ a) ( ½ )(x) = x³ − 4x² − 3x +9 - - b)…

A: NOTE: Refresh your page if you can't see any equations. . given functions are

Q: Find F-7(x) for f(x)= 13 +14x

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Q: For the f(x) = −x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s) of…

A: Given that f(x) = −x3 + 3x + 6 To determine the coordinates of the turning point(s) and any point(s)…

Q: Find the the domain of the function f(x) x + 3 x2 + 10x 11 -

A: Given function is  f(x)=x+3x2+10x-11 Which is not defined if denominator part equals to zero.

Q: For the function f(x) = /=+2, find ƒ-'(x). %3D 4 Of (x) = (4 (x - 2))° Of- (x) = (4x – 2)5 O f-(x) =…

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Q: For the function f(x) = x3/3-x2- 24x + 19. Determine the point of inflection, any exist.

A: We have to solve

Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection.…

A: Plot the labelled graph for y.

Q: For the function g(x) 3x*-2x2 + 6, find the intervals where the function is concave up and the…

A: Given, g(x)=3x4-2x2+6

Q: Find the domain for (f- g)(x) when f(x) = v9x +7 and g(x) 10 8x

A: The domain of a function f(x) is the set of all possible values of x for which f(x)  is defined.

Q: For the f(x) = −x³ + 3x + 6 determine the coordinates of the turning point(s) and any point(s) of…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: find f(g(3)) when f(x)= -8x+5 and g(x)= -3x^2-7x+5

A: Given the query is to find value of indicated function.

Q: For the function ƒ(x) = 4x² + 1 find

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Q: For the function f(x)=x°-6x2+9x+8 find and select the correct answer from the following:

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Q: For the f(x)=−x^3+3x+6 determine the coordinates of the turning point(s) and any point(s) of…

A: In the question we have to find the turning point , point of inflection.

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Plot the curve for g(x).

Q: Simplify the difference quotient ƒ1x + h2- ƒ1x2 / h for the follwing function. ƒ1x2= x2

A: Given function: f(x)=x2

Q: DETERMINE q(-4) GIVEN THE FUNCTION X +3 X²+7x+12

A: Please see the below picture for detailed solution.

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A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: Find the function P(x) of a company selling x items is given by P(x)=x³+9x²-15x-13 where :…

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Q: For the function f(x) = 5x³ + 5, find f-1(x). Of () = V - 5 3 Of (#) = 5 3 x-5 Of (x) = - 5 Of (x) =…

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Q: For the f(x)=−x3+3x+6f(x)=−x3+3x+6 determine the coordinates of the turning point(s) and any…

A: See the attachment

Q: find inflection point for the function f(x)=x^3-6x^2+15

A: we have to find the point of infection for the given function

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A: Given that: f(x)=3x.   NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: For the f(x) = -x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s) of…

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Q: What number of rooms filled produces the maximum revenue?

A: Differentiate the given revenue function and quate it in to zero then solve for x. The. We get the…

Q: For the function z = x3-2x2y2-2y2 Find Zx

A: Given,z=x3-2x2y2-2y2Differentiating both the sides partially w.r.t. xwe…

Q: For the function f(x) = -4x find ƒ–1(x). 2x-3'

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Q: Find the inflection points of f(x) = x4 + x3 − 3x2 + 2.

A: To analyze the given curve y=f(x) for inflection points (if any)

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Q: Find all zeros for the function f(x) = x4 - 8a3 + 3x2 + 40x - 12

A: Here we use quadratic formula. For quadratic equation ax2+bx+c =0 Then x =-b ±(b)²-4ac2a

Q: For the function f(x) = 5x³ – 3x°, |

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Q: Simplify the difference quotient ƒ1x + h2- ƒ1x2 / h for the follwing function. ƒ1x2= 3x

A: The given function is fx=3x.

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Q: Find the inflection points of the function f(x)=x4−6x2.

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Q: A blogger earns R(x) = 10x + 0.063x² in revenue, where z is the number of subscribers, and has a…

A: This question is based on Revenue and Profit.

Q: for the function g(x) = 6x2-x-10 find g(-2) g(-2) =

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Q: For the f(x) = -x2 +3x + 6 determine the coordinates of the turning point (s) and any point (s) of…

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A: Given: Henry's balloon begins 15 miles from town and is 31 miles from town after two hours. The…

Q: Find the points of inflection of the functionf(x)=3√x2(x+1).

A: Given:

Q: Find the coordinates of the points of inflection for the function. 14) f(x) = 7e-x²

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A: The domain is the set of possible input values of the function.

Q: Find the point of dimminshing returns (x,y) for the function R(x)=4000-x3+48x2+500x, 0<x<20, where…

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Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.