f(x)=2x÷x^2+8x+15  Graph tell what's points are increasing and decreasing mark mark  that are positive and negative

Q: d the second derivative of the functi =) = [3x° +6}* a. f" = 90x*(6+3x)ʻ(24+90x°) b. f" = 90x*(6…

A: We have to choose the correct answer from the given options according to the given information

Q: How is the graph off (x) = x 3 - l2x 2 + 36x - 16 related to the derivative f'(x) = 3x 2 - 24x + 36?

A:

Q: Which shows where the function is decreasing?

A: The graph of the function f(x) is shown. The function f is increasing if the derivative of function…

Q: Differentiate the function using the three step rule. Show your solution. f(x)=(x)/(√(x-4))

A: You must have idea about three step differentiation method.

Q: Apply the First Derivative Test to identify all relative extrema. f(x) = -7x³ + 21x +3

A: fx=-7x3+21x+3 Differentiating with respect to x, we get f'x=-73x2+211+0⇒f'x=-21x2+21 Now to find…

Q: Differentiate F(x)=x sec^-1(x³)

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

Q: 11. Please explain how to get the domain, y-intercepts, zeros of the function, the x-intercepts,…

A:

Q: OFind the eguation of the tangent line for f(x) = 6x²-3x +a when x= 5. You may problem. use…

A:

Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

A:

Q: Describe the graph of f (x) = ex

A:

Q: Use second derivative test, If f(x) = 25x + 10 then f(x) has a 3 local maximum at the point_

A:

Q: Find the third derivative of the function f(x) = (x3 - 8)4 please provide detailed steps and the…

A: Given that: f(x)=(x3-8)4

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.…

A: increasing and decreasing intervals of fucntion  fx=3x4 − 4x3 − 12x2 + 5

Q: 1. f(x)= Vx3 + 2x² + 3 2. f(x) = (6x – 7)(2x + 3)

A: To find the second derivatives of the given functions.

Q: g(0) -- y = 3

A:

Q: When a company charges p per unit, it can sell 100 − 2p units. What is the revenue function?" I'm…

A: Given that:-price per item=punits of item sold=100-2pTo find: the revenue function

Q: Sketch the graph of the function by first making a table of values. fx) = -x + 4, -4 sxs 4 f(x) = -x…

A: Given: F(x)= -x+4

Q: Use the second derivative test to find the extre #1) f(x) = x³ + 2x² - 4x-8 %3D

A:

Q: y = 2x' + 5x from the point (-2,-26) to the point (4,148), you'd have to compute f(x)dx

A: Given: y=2x3 +5x Point (-2,26) ,(4,148)

Q: Using derivative, find the absolute maximum and minimum of f(x) = 2x3 +3x2 −12x on [−3,3]

A:

Q: The fourth derivative for * 3 points y = x3 - 3x2 + 2 are 6x-6

A:

Q: find all possible functions with the givenderivative. y' = √θ - sec2 θ

A: Given: y'=dydθ=θ-sec2θ for evaluating solution of given differential equation, we use variable…

Q: The number of concurrent users of a social networking site has increased dramatically since 2001. By…

A: The function P(t)=2.8291.484t, where t is the number of years after 2001,models this increase in…

Q: second derivative of f(x)=7(5-9x)4

A: Second derivative

Q: A rectangular plot requires 2000ft of fencing to enclose it. If one of its dimension is x (in…

A:

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

A:

Q: Use Second Derivative Test to find the location of all local extrema for f(x)=2x³+21x²+36x-1

A: Local extrema.

Q: Describe the x-values at which the function is differentiable. (Enter your answer using interval…

A: Given function is  y=x2x2−16

Q: Differentiate the function. y = etan(8) y' =

A: The given function is y=etanθ.

Q: A rectangular piece of sheet metal with a perimeter of 50 cm is rolled into a cylinder with two open…

A: a. Given that, a rectangular piece of sheet metal with perimeter 50 cm is rolled into a cylinder…

Q: %3D Find the second derivative of f(x) = 3e*-8e-6x

A: We have to find the second derivative of the function: fx=3e5x-8e-6x We know the formula of…

Q: Find the second derivative. y = 7x2 - V2 y" =

A: Given that y=7x2-x27 y=7x2-x217=7x2-x27 find the first derivative…

Q: How do you use the second derivative test to analyze concavity of a function?

A: We know that, If the second derivative of the function f(x) is defined on an interval (a,b) and…

Q: How will you differentiate an implicit function that can't be expressed in the form of y = f(x)?

A: For the differentiation of implicit function, we will differentiate each side of an equation with…

Q: derivative of 2x^2

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

Q: Differentiate the function. y= (5x- 5) (5 -x*)5 - 15625(x – 1)ª (5 – x*)*(5+4x³ – 5x*) dx

A:

Q: Use Second Derivative Test to find the location of all local extrema for f(x) = 2x3+21x²+ 36x-1

A:

Q: Describe the x-values at which the function is differentiable. (Enter your answer using interval…

A: Given that  y =x2x2-4   ........... (1) At x = -2 and x= 2, y does not exist finitely  So y is not…

Q: 10 10 -5 10

A:

Q: The number of concurrent users of a social networking site has increased dramatically since 2001. By…

A: The given question has been solved in detail

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

A:

Q: What is the derivative of y=(1-x-1)-1  Please show steps. Thanks.

A:

Q: II. Find the second derivative 1. y= 8x- 12x3 + 6x?-9 2. y = (4x-9)2

A:

Q: Describe the graph of f(x) = ex

A: Given: f(x) = ex To describe: The graph of f(x) = ex

Q: Find the first derivative y = (3x-2)/ (2x-1)1/2        Use the quotient rule

A:

Q: Differentiate the function. y = (2x* - -x+1) (-x* +3) y' = D

A:

Q: Explain derivatives on optimization ?

A: Topic:- derivatives

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

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

Q: Find the higher order derivative. f"(x) = 4x2 + 9x – 16 - f(5)(x) = %3D

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.