For what value of X does the function f(x) = x³ – 9x² – 120x+6 have a relative minimum? (A) 10 (в) 4

Q: Find the values of constants a, b, and c so that the graph ofy = ax3 + bx2 + cx has a local maximum…

A: Given that: y = ax3 + bx2 + cx has a local maximum at x = 3, local minimum at x = -1, and inflection…

Q: What is the relative minimum value of the function f(x, y) = x³ – 3xy + y³ – 2?

A:

Q: Find any relative maximum or minimum points of the given function. y = 2 + 8x - x2 O Maximum at (4,…

A: We can find the answer as below.

Q: The absolute minimum of f(r) = 20z² – I+1 is

A:

Q: FIND THE MINIMUM AND MAXIMUM VALUE F (X) = X/(1-X) X e(0,1)

A:

Q: Given the piecewise function: 4x + 12 { x<-2 - 1<x f(x) = -2x + 6 18. What is the interval of the…

A:

Q: Find the point of minimum values of the function f(x,y) = 2x^(2) + 3y^(2) − 4x − 5 on the domain…

A:

Q: find a cubic function f(x)=ax3+bx2+cx+d whose graph has a relative minimum at (0,1) and a relative…

A: Let the given cubic function

Q: If f'(x) = x - 2x-x +2, thenf has a relative minimum at x= -2 O0 0 O0

A:

Q: f(x) = x2 -x-7 is The relative maximum value of and its relative minimum value is

A:

Q: What is the absolute maximum and the absolute minimum of the function f(x,y,x) = x2 + y2 + z2,…

A: A detailed solution is given below. We can use Lagrange's multiplier to solve the problem.

Q: Find the maximum and minimum values of the function f(x, y) g(x, y) = x² + xy + y² = 27 ry subject…

A:

Q: Suppose f'(x) =x++x³- 6x². Determine the value of x where f has a relative minimum value. O x=0 O…

A:

Q: Suppose f'(x) =x++x³ – 6x². Determine the value of x where f has a relative minimum value.

A:

Q: At what x-value is the global minimum for f(x)=x2−4x+3 within the interval  0≤x≤5?

A:

Q: Suppose f(x)=x+x³-6x2. Determine the value of x where f has a relative minimum value. A x=2 (B x=0…

A:

Q: what is the relative minimum value of the function f(x,y) = e^x^2 + y^2

A: Calculate first and second partial derivative with respect to x and y  then take first partial…

Q: If f'(x) = x - 2x² - x +2, thenf has a relative minimum at x= 1 -1 2 -2

A: The answer is

Q: Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 2 at x = −2 and a…

A:

Q: Find the absolute minimum value of the function g(x) = e\/(5x), x > 0.

A: To find the absolute minimum value of the function gx=ex5x, x&gt;0.

Q: 2. Find the minimum value of f(x) = %3D

A: We expert are supposed to do first question . We have to find minimum value

Q: z = x? + xy + y² - y

A:

Q: . Determine the values of constants a and b so that f(x) = ax² + bx has an absolute maximum at the…

A:

Q: Find constants a and b so that the minimum for the parabola f (x) = x² + ax + b is at the point (4,…

A:

Q: Suppose f'(x) =x4+x3– 6x2. Determine the value of x where f has a relative minimum value.

A: Explanation of the answer is as follows

Q: Determine the values of constants a and b so that ƒ(x) = ax2 + bx has an absolute maximum at the…

A: Given:

Q: Please can you answer quickly z= x² + xy + y² - y What is the x-component of the minimum point of…

A: Given: z=x2+xy+y2-y To determine: The x-component of the minimum point of function.

Q: 2. ts): Find the absolute maximum / minimum values of the function f(x) = x(6-x) over the interval…

A:

Q: Find the absolute minimum value on (0,infinity) for f(x)=4e^x/x^2

A:

Q: Find the absolute minimum value of the function g(x) = e*/(5x), x > 0.

A:

Q: Find a cubic function f(x) = ax + bx2 + cx + d that has a local maximum value of 4 at x = -3 and a…

A: Here we have to find the cubic function that has a local maximum value of 4 at x= -3 and a local…

Q: Find the values of constants a, b, and c so that the graph of y = ax + bax2 + cx has a local maximum…

A:

Q: Find the value of x at which the minimum of the function f(x) = x? Occurs.

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function x² y² – 8x + y f(х, у)…

A:

Q: What values of a and b make ƒ(x) = x3 + ax2 + bx have a. a local maximum at x = -1 and a local…

A: Find first derivative.

Q: Suppose f'(x) =x++x³ – 6x². Determine the value of x where f has a relative minimum value. A) x = 2…

A: See the details solution in below

Q: ve maximum or

A: Maxima and minima: Let f(x)=e3x2+4 For maxima or minima we need to find those values where f'(x)=0.…

Q: Calculate the difference d between the global maximum and global minimum values of f(x)=x2−4x+6 in…

A:

Q: Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 4 at x = −4 and a…

A:

Q: Find the value for x for which the graph of y =2e reaches its first minimum value.

A: To find the value for x for which the graph of below equation reaches its first minimum value.…

Q: If f'(x)=x^3-2x^2-x+2, then f has a relative minimum at x=

A: If f'(x)=x3-2x2-x+2, then f has relative minimum at x

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

A:

Q: 3) Find the abolute maximum and absolute minimum valuer of f(x) = x²-6x+5 %3D

A: using double derivative test

Q: 2) Find the absolute minimum value on (0,∞ ) for 4 f(x)= 5+x+

A: The second derivative may be used to determine local extrema of a function under certain conditions.…

Q: Find the point on the line y = x that is closest to the point  (3, 1).[Hint: Express the distance d…

A: Assume d be the distance from point y=x to the line y=x Assume (x,y) be a point on a line ⇒(x,y)…

Q: What values of a and b make ƒ(x) = x3 + ax2 + bx have a local maximum at x = -1 and a local minimum…

A: Given: fx=x3+ax2+bx To find a, b such that function has local maxima at x = -1 and local minima x =…

Q: Suppose (x) =x4+x³ – 6x2. Determine the value of x where f has a relative minimum value. O x=0 x= -…

A:

Q: Let fx) = x + 2x-8. For what value(s) of x does fx) have a local minimum?

A:

Q: If f'(x) = x³ – 2x² – x + 2, then f has a relative minimum at x

A: f'(x)=x3-2x2-x+2, we have to find relative minimum of f.