Determine where the graph of the function f (x) = x³ – 6x² is concave upward and concave downward.

Q: Determine where the graph of the function F(x) =x²-15x downward. Also, find all inflection points of…

A: We need to determine where the graph of the function f(x)=x3-15x is concave upward and where it is…

Q: Sketch the curve: f(x) = x* – 6x²

A: given function f(x)=x4-6x2we have to sketch the curve put the value of x=-2  , we get f(-2)=-8 put…

Q: Find the inflection point of the curve f(x)= x³ – 12x²+7x+1.

A: An inflection point is a point on the graph at which the second derivative is equal to zero or…

Q: Find the points of inflection of the function f(x)=xe−2x.

A: Inflection point is the point where concavity of f(x) changes. At this point double derivative of…

Q: Determine where the graph of the function f(x) = 2x3 - 6x is concave up and where it is concave down

A: Known fact: The graph of the function fx is concave up on I if f''x>0 for all x in I. The graph…

Q: Determine where the function is concave upward and where it is concave downward. g(x) = -x² + 9x + 3

A: if second derivative is positive in any interval then f(x) has cancave upward  if second derivative…

Q: How is the graph of f (x) = x3 − 12x2 + 36x − 16 related to the derivative f'(x) = 3x2 − 24x + 36?

A: We have been given the equations f (x) = x3 − 12x2 + 36x − 16 and the equation of the derivative…

Q: Select the graph of the function. 2x +1 x<0 f(x)= 1-x x20

A:

Q: Use the graph of f(x) to solve f(x) = 0 f(x)

A: Given query is to the factors of the expression.

Q: Find the point of inflection of the graph of the function. f(x) Exvx + 6

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Q: Find the points of inflection of the function f(x)=x3 / 1−x2.

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Q: Can you calculate f(0) for the function f(x) = 2π2?

A: Answer is  f(0)=2π^2. Explanation is given below

Q: Find the slope of the graph for the function f(x) = 3sinx + 11 at the point (7,11)

A: The function is f(x)=3 sin(x)+11

Q: Find x- and y-intercepts for f(x)=(x+2)2(x-1)

A: Topic- function

Q: urve: f(x) = x4 − 6x2

A: Given,          f(x)=x4-6x2

Q: Find the slope of f(x) = -3x2 – 6x at x = 1

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Q: Find the points of inflection of the function f(x)=x2 / 1+x2.

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Q: Q1: Find inflection point of the function F(x)=X³- 2X+1

A: Our Aim is to find the inflection point of F(X)=X3-2X+1 -(i)

Q: snip

A: Given: f(x)=x3-3x2

Q: Please

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Q: Find the points on the graph of the function that are closest to the given point. Rx) - х2, (0, 7)…

A: A detailed solution is given below.

Q: Differentiate the function. f(x) (9x2 15x)e* = f'(x)

A: First simplify the given function as follows.

Q: Find f'(a) for the function f(x) = -4x^-2. Thanks!

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Q: Differentiate the function. y = (x+2)(x² + 2x +1)

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Q: Determine the point on the curve for the function f(x) = (−5x + 7)(2x + 3) where the slope is -1/2

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Q: Which equation matches the graph of the piecewise function f(x) below?

A: Given,

Q: Graph the piecewise function. f(x) = 3[ x ]

A: We know that greatest integer function of any real number x denotes the greatest integer less than…

Q: For what value of x does the function g(x) = -x – 2x? attain the point of inflexion?

A: i have used the necessary and sufficient condition for point of inflection and obtained x=2 is…

Q: Describe the x-values at which the function is differentiable. x2 y = x² - 4

A: Given: y=x2x2-4, To find: The value of x at which the function is differentiable.

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 9, (0,…

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Q: Find the x-intercepts for f (x) = x³ – 9x.

A: The solution of the problem is given in the next step.

Q: What is the end behavior of the function f(x)=2ex?

A: Given: The function,  f(x) = 2ex

Q: sketch the graph of the function f(x, y) = sqrt(4-4x^2-y^2)

A: Given function is, f(x,y) = 4-4x2-y2

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

A: Inflection point is a point on the graph of function f(x), where the second derivative f''(x) is…

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

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 9, (0,…

A: I use second derivative test to find out where distance is minimum

Q: Graph the step function over the interval -2< x< 2. f(x) = [x +3] %3D

A:

Q: Describe the concavity for the function f(x) = x³ – 3x.

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Q: Find the domain of the function f(x) = V15x -3.

A: Given,            f(x) = 15x - 34

Q: Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

A: Solve the following

Q: line to the functions: f(x)= v2 – 3x at x= -2 -

A: Definition used -                 Equation of a tangent to a point x= a for a function f(x) is…

Q: Differentiate the function. 4 F(x) 5

A: Given F(x)=45x10⇒ddx(45x10)⇒45*ddx(x10)We know that ddx(xn)=nxn-1

Q: Find the slope of the graph of the function f (x) 4(5x + 6)² at x = 3.

A:

Q: Differentiate the function with respect to the independent variable. f(x) = - 3x° + 4x$ – 7

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0,8)…

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Q: The path of a diver is modeled by f(x) = - :-x² +24x+9 where f(x) is the height (in feet) and x is…

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Q: Find the points of inflection of the function f(x)=x2lnx.

A: Inflection points are the points at which second derivative is zero. So differentiating f(x) with…

Q: Find the interval where the function, f(x) = + - 8x is 4 decreasing?

A: Consider the given function.