c) f(x) = 2

Q: Find f if f"(x) = 2 + cos(x), f(0) = -1, f(π/2) = 2. f(x) =

A: Given differential equation, f''x=2+cosx Boundary conditions are f0=-1, fπ2=2 The formula for…

Q: Let f (x, y) = 1 5+√x²+y²-1 Then range of f is:

A:

Q: Using the criterion of the first and second derivatives, find the graph of the function c) F(x) = x…

A: Topic = Functions

Q: What are the values f(4) and f 0 (4)

A: Given Data: Graph: y=fx Point 1: Ax1, y1=A4, 3 Point 2: Bx2, y2=B0, 2   The value of f4 will be…

Q: Find an equation for f(x) using the tangent function. f(x) = f(x) 12- 10 8. 6. 4 2 X 3 2 6. 6 3 6 -8…

A: The given graph is:   To find the equation for f(x).

Q: Is it possible for a function to satisfy f(x) > 0, f′(x) > 0, andf ″(x) < 0 on an interval?…

A: We want function that is: 1. positive on interval I since fx>0   2. increasing on interval I…

Q: Consider the function f (x) = 3x² + 2x – 4 What is the exact value of Cin the interval [-2, 4] such…

A: By using Mean Value Theorem for Integrals f(x)=3x2+2x-4 find c over interval [-2 , 4] = ?

Q: Consider f : R → R given by f(x) = x². What are the domain, codomain and range of f?

A: Let a function f : A→B thenDomain: set ACodomain: BRange: Values that comes out after putting values…

Q: Find the equation of the line that is tanget to f(x)= 1/x at the point (2,1/2).

A: We need to find the equation of the line that is tangent to f(x) = 1/x at the point (2,1/2).

Q: f(r) = 2r² - e² %3D

A:

Q: Consider the function f(x) = x³ + x2 - x + 5 on the interval [-3, 0]. Find f'(x). f'(x) =

A:

Q: The graph of f(x) passes through the point (-1,4), The slope of the line tangent to the graph at the…

A: The slope of the tangent of the function at a point is given by the derivative of the function at…

Q: 2. What is the lilm f(x)?

A: From the given graph in extreme left side we can clearly see that. If x tends to minus infinity then…

Q: Where is the function f(x) =| x | differentiable?

A: Given information: fx=x The function, after removing modulus function, y=x=x,      x>0=-x,…

Q: Find the value for the function. Find f(x + h) when f(x) = 3x2 + 4x + 3. %3D O 3x2 + 3xh + 3h2 + 4x…

A: To find the f(x+h)

Q: Explain why you can not apply the mean value theorem to the function f(x) = x2/3 on the interval…

A:

Q: The function f is given by f (x) = (1+x)=. How do the values of f behave for small positive and…

A: Here we define  f  for small or large positive value of x.

Q: a) Use the Second Derivative Test to find the local extreme values of the function f(x)=(x^3+27)^4.

A: We have to use the Second Derivative Test to find the local extreme values of the function.

Q: Find the absolute extrema of the function f(x)= (x+2)4 (x2 -8)2  on the interval [-4,1].

A: Given,f(x)=x+22x2-82 An absolute extremum of a function in a given interval is the point at which a…

Q: 6. Sketch f(x) and it's reciprocal f (x) = -2x -4 %3D %3D

A:

Q: Determine the absolute extrema of the function f(x) (x- 4)e on the interval-1 <x<4. SHOW YOUR WORK!

A: We have given f(x) = (x – 4)ex on the interval -1 ≤ x ≤ 4.

Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…

A:

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

A: Use quotient rule for derivative

Q: Find the absolute extrema of the function on the closed interval. 3 f(x) = x³ – , [-1,2]

A:

Q: The slope of the line tangent to the graph of f(x) = 19 – 4x² at the point x = -9 18 8 O 152 72 144

A: Given that: f(x)=19-4x2

Q: Find (f-1)'(a). f(x) = x - , x < 0, a = 1 х (F-1y(a) = ||

A: Given function

Q: The graph of f(x) is given on the grid. Graph f'(x), its derivative. 05 4 -8 -7/-6 -5 -4 -3 -2 -1 I…

A:

Q: Describe the x-values at which f is differentiable.

A: Definition used -                       A function f(x) is differentiable at any point -…

Q: Find the difference quotient of f(x) = x² at x = a and simplify. (The difference quotient at x = a…

A:

Q: Find f'(x). f(x) = ex – 2x f'(x) = e-2 %3D Compare the graphs of f and f' and use them to explain…

A: Given  f(x)=ex-2x

Q: in of (fo f)(x). (Enter your answer using

A: We have to find the following conditions according to the given information

Q: 3- Find the root of function F(x) = x² – 10 Using XL=3 , X,-4 , ɛ = 0.1

A: given function Fx=x2-10 with condition XL=3, Xu=4, εS=0.1 claim- find the roots of the function

Q: What is the range of the attached function?? Is it f(x)&lt;=3/4 or f(x)&gt;=3/4

A: Given the funciton f(x)

Q: If f(x) = 7cos(x), what is f'(x) ?

A:

Q: 3. If f(x) = 2sinx + x³, find f'(x), f"(x), f'''(x).

A: Given - If fx = 2sinx + x3 To find - f'(x), f''(x), f'''(x)         Formula used - ddxfx = f'x…

Q: 8. 4 2

A: In this question we will use basic of calculus i.e use of tangent function. We will write the…

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

A: The given function:

Q: | Compute the value of f(0) when f(x) = |æ|. Explain why f cannot b (iii) 1 f.

A:

Q: Does the Mean Value Theorem apply to f(x) = |x – 7| on the interval [1, 9]? Explain.

A: No

Q: Located the absolute extrema of the function on the closed interval. 4. f(x) = x3 -x² ,[-1,2]

A: According to our guidelines we are supposed to answer only one question since you have asked…

Q: 7.) 2Ct f(xJ= x /メ+4 メ+5

A:

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: Integrate and pass that through given point for value of constant

Q: 25 Given the function f(x) = x°+ x° + x*, find all x-values where f has an inflection point.

A:

Q: Explain why the Mean Value Theorem does not apply to the function f on the interval [0, 6]. f(x) =∣x…

A: Mean Value Theorem: Let f be a function satisfying two condition: 1. f is continuous on a,b. 2. f is…

Q: Evaluate f''(c) at the point. f(x) = (x2 - 5)(x3- 5), c = 1

A:

Q: function f(z) 2

A:

Q: х — 1 - 2. For f(X) calculate f-'(8) = ? %3D х — 3 -

A: Given : f(x) = (x - 1)/(x - 3), we want to find the function f-1 that takes the value y as an input…

Q: Find the average rate of change of the function f(x) - 3x – 2x – 2, on the interval 2 < x < 4.…

A: NOTE: Refresh your page if you can't see any equations. . take x=2

Q: Express the function in the form f◦g. f(x)=sec(x2)tan(x2).

A: