Vx-1 for the function f(x) = -! by using quotient rule. Vx +1

Q: increasing and decreasing. 5) f(x) = -x² +4 fx) -4 위

A: Given :  f (x) = - x 2 + 4    To determine : The intervals on which f (x) is increasing or…

Q: Q2\\ Find the value of (a) that make the function below continuous at x 2: (a*x-2a x22 fx) = 12 x<2

A: Definition used-                     Continuity of function -                     A…

Q: (f) What is the first-order condition implied by unconstrained maximization of I1 X 1333 X, where x…

A:

Q: b) Find the absolute maximum and minimum values of function f(x) = (x– 2)5 over the interval [-3, 4]

A: Absolute extrema can occur either at the points of local extrema or the boundaries of the interval.…

Q: f(x) = 4x^3-(x+9)^1/2 What is the interval or intervals on which the function is differentiable on…

A: Refer  to the question the provided function is f(x) = 4x^3-(x+9)^1/2.

Q: Find the point on the graph of the function that is closest to the given point. Function Point f(x)…

A:

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given equation is: y = -3x - 16

Q: Q3): Does the function r(x, y) = xs -xay² is harmonic?

A: As we know that; the function fx,y is harmonic. If ∂2f∂x2+∂2f∂y2=0 or fxx+fyy=0 Given:…

Q: f(x)=√√5x - 8 around the x-axis over the interval [2, 4].

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Question- Find the point of diminishing returns (x.y) for the function R(x) , where R(x) represents…

Q: (B) Use the second derivative test to find the maxima and minima for f(2) = 22 - 15x + 1. 3 %3D

A:

Q: Investigate for maxima and minima the function $(x)=[{2(--1)(t–2) +(»-1°(r-2)"}at |

A:

Q: Find ƒ″(x )  for function. Then find ƒ″( 0)  and ƒ″ (2)

A: Given: fx=-x1-x2

Q: V4 – x2 – y? In(y – x) - Find and sketch the domain of f(x, y) -

A: Given,fx,y=4-x2-y2lny-xRoots are:y=-4-x2y=4-x2Domain is: (x,y)∈R2:log(y-x) ≠0 and x&lt;y and x2+y2≤4

Q: Find the absolute extrema of the function y = √x - 9 on the interval [9, 45].

A: To find the absolute extrema of the function y=x-9 on the interval 9, 45.

Q: (A) Find the absolute maxima and minima for ,3 Y = x + 5 over [-V2, v2). (B) Use the second…

A: y = x33-x+5y' = 3x23-1y' = x2 -1x2-1 = 0x2 = 1x = ±1

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Giveny=-5x-14

Q: Find the average rate of change of f(x) = 5x²-9 on the interval [2, t]. Your answer will be an…

A: Use the formula for the average rate of change of a function.

Q: Find the inflection point(s) of the function f(x) 16x + 36x + 17x + 5. Show = 2r1 the work.

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: Example:Find a²y as a function of t if x = t – t2,y =t-t3. dx²

A:

Q: Find the average rate of change of f(x) = 9x² – 3 on the interval [2, t]. Your answer will be an…

A: Use formula of avg rate of change

Q: (2) For the function f(x) = -x² – 24x +19

A:

Q: Find the average rate of change of f(x) = 7x² - 6 on the interval (3, t). Your answer will be an…

A:

Q: 4. a) Find the value of x where the function f(x) = (x – 4)5 is not differentiable.

A:

Q: Q. 4 Find the absolute maximum and minimum values of f(x) = x³ + 5x2 – 7x over the closed interval…

A:

Q: An aircraft factory manufactures airplane engines. If x engines are made then the unit cost is given…

A: This question is related to maxima and minima of function, we will use differentiation to solve…

Q: d²y 2. Determine of the function y = dx2 x²cos (x)

A:

Q: For the function f(x) = x*-4x3 +10 (i) Find where the curve is increasing, decreasing and critical…

A: We can solve the given problem using concept of derivative in order to solve the given problem.

Q: 1 f(x) = x* – 16x + 1 Determine where the function is concave up and concave down. Enter your…

A: We know, When the slope of a function continually increases, the function is concave upward. When…

Q: 2x + Vx. 4. Determine a function f (x) knowing that f"(x) = 16e¬

A:

Q: Q8: Calculating Derivatives from the Definition. f(x) = x2 – 3x - 1 %3D

A:

Q: For the linear function f(x)= -2x-2. Describe the line slat

A: The given linear function is: fx=-2x-2

Q: 1 For what value of x does the function g(x) =x³ – 2x² concave downward? %3D

A: Consider the function  gx=13x3−2x2

Q: True or False The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

A: The statement: The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

Q: How do you find the domain and range for f(x,y) = ln(x+y)?

A: The given function:

Q: How much revenue does the company get from a customer who uses exactly 30 therms of gas in a month?…

A:

Q: (A) Find the absolute maxima and minima for x3 y = - x + 5 over 3 [-V2, v2]. (B) Use the second…

A: When on critical point f''&lt;0 then that critical point give local maximum value of f(x)  When on…

Q: f(x) = 4x^2-12x+7   how is this function concave wherever it is defined?

A: Given:

Q: given y=f(x) and the function is linear, use this change equation to solve the problem. Given that…

A: We have to use the given differential equation.

Q: 2.Find all the maxima value of f(x, y) = 49 - x2 – y?, on the line x + 3y = 10 %3D ||

A:

Q: 4. a) Find the value of x where the function f(x) = (x – 4)3 is not differentiable.

A: According to power rule of differentiation , .

Q: x², -2sx<1 (x+1, 1sx<2 For the piecewise-defined function f(x) = }

A: fx=x2,-2≤x&lt;1x+1,1≤x&lt;2

Q: 2. f(x) = 6x - 1 slope: of f = of g y-intercept: of f= of g=

A:

Q: x+2 for 4. Graph. f(x) ={-V4 – x² for -2 sxs2 (-x(x-3) for x 2 f(x)t

A: Consider the function  f(x)=12x+2                 for x&lt;2−4−x2            for−2≤x≤2−xx−3…

Q: The function y is discontinuous at x equals? x+2

A: Given function is: y=x-4x+2

Q: interval

A: We have to find the increasing interval according to the given function

Q: 6. What is a point of inflexion ? Does f(x) = x' have a point of inflexion at x = 0?

A: Given that,

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: