Show that the function f(x) = Vx4 +3 is even but not odd.

Q: Find the maximum value of the function f(x) = x² . – x within the interval0 < x < 2. -

A:

Q: (a): Find the critical points of the function f(x) = 6x? – 12x. -

A:

Q: Find the critical point for f and then use the second derivative test to decide whether the critical…

A:

Q: f(x) = x – e2x

A:

Q: Find the linearization of the function f(x) = x^8 at x = 1

A:

Q: Find the absolute extrema of the function on the closed interval.                   f(x) = x3 + 6x2…

A: To find the absolute extrema of the function on the closed interval. first differentiate and find…

Q: Find the linearization of the function at a . f(x) = x 4 + 3 x2    , a = -1

A: We know that ,The linearization of the function at v=ais given by fa+f'ax-a

Q: Find the points of discontinuity of the function f(x)={1−x2,x&lt;0x+2,x≥0 if they exist.

A:

Q: Determine critical points of the function f(x)=∣∣x2−4x+3∣∣.

A:

Q: The function f(x) = 2x3 – 39x? + 240x + 9 has derivative f'(x) = 6x? – 78x + 240. %3D f(x) has one…

A: Given data:   The expression for the given function is f(x)=2x3-39x2+240x+9. The expression for the…

Q: Suppose that f'(x) = (x − 1)³x² x + 3 Determine the interval(s) on which y = f(x) is decreasing.

A: To find out the intervals on which the function is decreasing.

Q: The function f(x)=(x)/(x-1) is discontinous at x=1 because

A:

Q: Find the minimum and maximum of the function in the specified interval. 1. f(x) = x² - 6x + 9 on…

A:

Q: Find the critical points of the function f (x) = 2x³ – 9x² +12x+47. Show all your work.

A: Firstly we find the derivative of the function and then put it equal to zero and find the x values…

Q: The function f(x)=(2-x)/(3) is continuous at

A:

Q: Find the maximum and minimum values of the function f(x) = x² – 6.x +7 on the interval [0, 5].

A: It is given that, f(x)=x2-6x+7   , on the interval 0,5We have to find the maximum and minimum values…

Q: (B) The function f(x) = x² + x +1 has no fixed point, prove that.

A: Let X be a nonempty set and f : X → X. A point x ∈ X is a fixed point of  f, if f(x) =x.  If no…

Q: 2. Determine the maximum and minimum value of the function f(x) = 2x' +3x² –12x + 2 over the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the critical point of the function f(x, y) = – 7 2x + 5x2 - 8y – 5y? |

A:

Q: For what x does the function f (x) = 1/4 x2 - x + 2, 0 … x … 8, have its maximum value?

A: For a given function f(x) the critical point are the value of x at which the derivative of f(X)…

Q: Where is the function y =4x/x-3 concave downward? Show mathematical work to clearly answer this…

A: For a given function y=f(x) the curve is concave downward in an interval I when the second…

Q: Obtain the ROOT of the f(x)=x²-2e-×+e-2x function using

A: b. Newton Rapshon method  fx=x2-2e-x+e-2x f'x=2x+2e-x-2e-2x , x0=4 1st iteration…

Q: Show that f(x) = 3x². x is not differentiable %3D

A:

Q: The critical point for the function ƒ(x)= x² – 3x is

A:

Q: Determine all critical points for the function. f(x) = x2 + 6x + 9 %3D

A:

Q: Find the values of a and b so that f will be differentiable at x = 3.

A:

Q: Consider the function f(x) = z + 6

A: Givenf(x)=1x+6

Q: Find the absolute extrema of the function on the closed interval.                            y =…

A: y = 3x2/3 − 2x,                                   [−1, 1]   absolute extrema of the function = ?…

Q: Find the absolute extrema of the function on the closed interval.                        f(x) = 7x2…

A:

Q: Use Intermediate Vaule Tun to show that the functions f(x) = x^3 and g(x) = 2x + 3 intersect at at…

A:

Q: Find the value of the constant c such that the function f(x)= (x-2)/( (root 4x+1)-3) if x#2, c if…

A: And

Q: Find the linearization of the function f(x) = 1/(9x+8) at x = -1.

A: Topic : function

Q: Find all critical points of the function f(x)=xlnx.

A:

Q: Show that the function f(x) = exp(-|x|) is not differentiable at x = 0.

A: Given function is  fx=e-x given point is x=0.

Q: Find the absolute extrema of the function on the closed interval.                    f(x) = x2 + 5x,…

A: Absolute extrema of the function on the closed interval occurs at a point where its first derivative…

Q: Produce the linear approximation of the given function at the specified value. f(x) = sqrt(x); x =…

A: fx=x,  x=2 Differentiating with respect to x, we get f'x=12x Now at x=2, f2=2  &amp;  f'2=122

Q: Find the absolute extrema of the function on the closed interval. f(x)=x3+6x2, [-6,1]

A: To Determine: Find the absolute extrema of the given function on the closed inteval.…

Q: Find the absolute maximum of the function f(x) = xª – 8x² on the interval –1 < x< 3.

A:

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

A: Given:

Q: Suppose that f(x, y) = e e-x² - 2y² + x Then the maximum value of f is

A:

Q: Find the absolute extrema of the function on the closed interval. f(x) = x3 - 12x, [0,6]

A:

Q: Examine whether or not the function fx' - 2r +1 ifxs 2 S (x)= x'-2r +1 [3x-2 if x>2 Is continuous at…

A: Given function, fx=x3-2x+1,     if x≤23x-2,            if x&gt;2 To find the continuity of the…

Q: Differentiate the function In x f(x) = In 2x+3 %3D x>0

A: The given function is: f(x)=ln xln 2x+3,x&gt;0

Q: Find the critical and inflection points of the function f(x) = 4sin³x – 3cos²x

A:

Q: 4) Where is the function g(x) = 3x2 -x+ 5 differentiable?

A:

Q: Find the global extrema of the function f(x)=3x4−6x2+2 on the interval [−2,2]

A: Global extrema of a function exists at critical points or at the end points of the interval.…