Find all the values of x where the tangent line is horizontal.   f(x)=2x3+45x2+324x+8

Q: F(X) = -X4  + X2 +3 How to solve for x?

A: Given,

Q: Find the absolute extreme values of the function on the interval. g(x) = -x 2+ 11x - 30, 5sxs6 %3D

A: Consider the function  g(x)=−x2+11x−30        ,5≤x≤6

Q: find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

A: To find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

Q: f(x)=2x(10x/x2-1 +7x5 Finf f'(x)

A: We can solve the given problem using chain rule of derivative.

Q: Find real values of x for which f(x) = 0. f(x) = (12 − x2)/8

A: Given: f(x)=12-x28 which f(x)=0.

Q: Find the absolute extreme values of the function on the interval. F(x) = Vx, -27sxs8

A: We will first differentiate the function to find the critical points.

Q: Find real values of x for which f(x) = 0. f(x) = x2 − 6x − 16

A: We have to find real values of x for which fx=0: fx=x2-6x-16 Applying given condition,…

Q: The graph of f(x) = 2x° + 15x² – 84x + 18 has two horizontal tangents. What is the negative value of…

A: Here, f(x)=2x3+15x2-84x+18

Q: Find the x-values for all points where f(x) = x4 - 50x? - 5 has a relative extrema.

A:

Q: f(x): ×+18 and glx) = 4x-34 2. f(x) - 5x - || and glx) - 7 -3x

A:

Q: Solve for g'(x).

A: Theorem used:

Q: Find a and b so that the function 1 5x3 — 6х? + 3, х -2 f(x) = ах + b, is both continuous and…

A:

Q: Find real values of x for which f(x) = 0. f(x) = 15 − 3x

A: Given: fx=15-3x To find the real values of x for which fx=0. Solution: Put fx=0 and then solving for…

Q: f(x) = x+ – 4x³ + 4x² + 1

A:

Q: the absolute or minimum if it exists.

A:

Q: Find the number of units x that produces a maximum revenue R. R = 204x2 − 0.08x3

A:

Q: Solve for x x'(t)=x-t

A:

Q: Solve f(-4) for f(x) = -4x+ 9 %3D f(-4) = [ ? ] Enter

A:

Q: If f(x) = (3, -1) what are the coordinates of f(x) = -r(-3x) +1? (4)

A: Find your answer below

Q: Solve f(x)= -3 +25in(X) for -T스

A: We have to solve the problem

Q: Find real values of x for which f(x) = 0. f(x) = 4x + 6

A: To find the real values of x for which fx=0. Solution: Put fx=0 and solve for x.…

Q: find the equation for the line below f(x)= x-8/x2+3x+2 find all the values of x that are not in…

A: We are going to solve

Q: For what value of x does the function f(x) = x³ – 3x? attain the absolute maximum in the interval…

A: We have to find Absolute Maximum in the interval [-1,4] by Second Derivative Test.

Q: Find real values of x for which f(x) = 0. f(x) = x2 − 81

A: Find real values of x for which f(x) = 0.

Q: Given f(x)=3x¹-8x' +10, find critical points (b) interval increase and decrease

A:

Q: Find the point (x,y), at which the graph of y = 8x + 9x - 7 has a horizontal tangent. The function y…

A: Given that: y=8x2+9x-7

Q: Determine the values of x for which the function is differentiable. y = -6x + 6

A: To find the values of x for which the function is differentiable.

Q: Find the domain of the function f(x)=17x+3f(x)=17x+3. What is the only value of x not in the…

A: the function given to us is  f(x) = 17x + 3

Q: Given f(x) = 5x – 3, solve for x when f(x) = 7. | %3D

A: We have to find

Q: 4 Find the value of f'(-1) if ƒ (x) =. (3xr² – 2x +1)

A: we have : f(x) = 4(3x2-2x+1)3 To find :f'(-1)

Q: 5. Find the value of the function: If f(x) = 3x + 2x 3, find(-3). f(-3) =

A: We have to find the value of the given function at x = -3.

Q: If a and b are positive numbers, find the maximum value of f(x) = x²(6 – x)5 on the interval 0s xs…

A:

Q: Solve the equation. Let f(x) = √3x2 − 26x sqaure root of (3x2 − 26x) For what value(s) of x is…

A:

Q: Find the value of x for which the value of the function f(x) = x3 + 3x2 - 2 is minimum?

A:

Q: F(x) Vex-uz 81 -9X

A:

Q: f(x) = 4x² + 2, and g(x) = /2x –1, find simplified formulas for ƒ • g and g• f,what is the domain of…

A:

Q: The value of x which satisfy 3x + 1| < - is : 5.

A:

Q: Solve: If f(x)=3x-1 and t(x)=x+1, what is the domain of t. The domain is : Example: x7

A:

Q: For the function z = x3 - 2x2y2 - 2y2 Please solve Zx and Zy

A: To find: The value of zx and zy. Given: The function is z=x3-2x2y2-2y2. Formula used: Power rule of…

Q: Find the absolute extreme values of the function on the interval. F(x) = , -2 -2 <xs 64 %3D

A: As per our guidelines, we are allowed to answer only the first question. Please upload another…

Q: Find the value of x for which the line tangent to the graph of f(x)-7x2+4x-14 is parallel to the…

A:

Q: f(x) = 2x² + 8x at the point x = 2. %3D

A: Given data:     The given function is: f(x)=2x2+8x   The expression for the differentiation of the…

Q: Find f(x) = 3x2 + 9x – 13 as x = -6

A: We have to find the value of the function f(-6).

Q: find all possible functions with the givenderivative. y' = 3x2 + 2x - 1

A: Definition used -     Function from derivative -         f(x)=∫f'(x)dx

Q: The revenue for a certain product is given by the equation R(x)=100−400x+5−x, where x is the number…

A:

Q: Given the function f (x) = 10 + 5x³ – 3x³, identify the interval(s) where the function is concave…

A: Given:      f(x) = 10 + 5x3 - 3x5

Q: The profit function for a company that produces shoes is given by y = - 2x ^ 2 + 12x +23, where "y"…

A:

Q: i. Consider the function f(x)=4x3+36x2-480x+12 a. Find the slope of this function at x=2. b. Give an…

A: The slope of a function at a point is the rate of change of the y coordinate with respect to the x…

Q: Find the value of f(x)= |3x| -2 at x =5

A: Given function is fx=3x-2. We have to find the value of fx at x=5. Substitute x=5 in fx=3x-2 and…

Q: If f'(x)=2x5-8x3+10cosx then state a possibility for the equation of f(x).

A: