Find the co-ordinates of the minimum turning point for the function f(x)= 2x² + ± 4 Using the second derivative test, verify that you have found a minimum turning-point.

Q: Solve for the derivative of the function using chain rule. 4. f(x)= (x3+4)5/ 3x4-2

A:

Q: Apply derivative to determine the vertex of the parabola y = x² + 2x + 2.

A:

Q: Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine…

A: Given that the function is        f(x) = x e-x^2

Q: y = (4x– 1)³

A: Consider the given function: y=4x-13 To find the first derivative with the respect to x:…

Q: Find the x-coordinates of all local maxima using the second derivative test. g(x) = a - 3x + 2

A:

Q: Find the critical points, use the second derivative test, and determine the relative maximum and…

A: Answer

Q: What is the maximum slope of a tangent to the function f(x) -x³ + 4x - 2? ==

A:

Q: 2. FIND THE DERIVATIVE BY THE LIMIT PROCESS OF f(x)=x²-6x+5.

A:

Q: Use second derivative test, If f(x) = 25x + 10 then f(x) has a 3 local maximum at the point_

A:

Q: Find the formula for a parabola with its vertex at (9,4) and with a second derivative of -3. f(x)=

A: let's equation of parabola is given by y=ax2+bx+c                                              ..1…

Q: find the function with the given derivative whosegraph passes through the point P. ƒ'(x) = 2x - 1,…

A:

Q: A Find the derivative using the three-step rule. 1. y = 11-9x

A:

Q: Find all points (x, y) on the graph of ƒ(x) = 3x2 - 4x with tangent lines parallel to the line y =…

A: Since the tangent is parallel to y = 8x + 5. Hence, the slope of the tangent = slope of the line = 8

Q: Determine the critical points of f(x) = x^2+8x+ 10 and apply the Second Derivative Test to find the…

A: Critical points are points where the function is defined and its derivative is zero or…

Q: Find all the points on the graph of (x² + y²)² = x² – y² that have horizontal tangent line.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Find the local maximum and minimum values of f using the Second Derivative Test. If the Second…

A:

Q: f(x)= (7x¹-5x-2)

A:

Q: I dont know where to start this problem. It would be great to have some help

A: Given:

Q: Use the Second Derivative Test to find the Maximum and Minimum value(s) of the function 3 f(x) x* -…

A: We have the given function as fx=32x2-4x+lnx For maxima/minima, we need to calculate f'x as…

Q: Determine if the critical points of the function f ( x ) = x³ + x² - x - 2 are maximum or minimum…

A: The given function is: fx=x3+x2-x-2   As we know that; To calculate the critical point, f'x=0.

Q: 1.f(0) = (금x* + 3)" %3D

A:

Q: Find the orthogonal trajectories for the family of curves y2 = Cx3 . Use a graphing utility to graph…

A: Given curve is y2=Cx3.

Q: Find the points on the curve y= x 4-6 x2 +4  where the tangent line is horizontal.

A: Find the points on the curve y=4x-6x2+4  where the tangent line is horizontal.

Q: Find an equation of the tangent to the curve f(x) = /x+ 7 that has slope %3D 4

A:

Q: Find the orthogonal trajectories of family of curves x-y=cx^2

A: To determine the orthogonal trajectory of the equation f(x,y)=c Find dydx Replace dydx→-dxdy Solve…

Q: Find the critical points and apply the Second Derivative Test (or state that it fails): f (x) = x5 −…

A: f(x)=x5-x3

Q: OF(x)= - 2x3+ 84x2-72x on 7- -6x²+48 x-72=0

A:

Q: Find the derivative of the function by the limit process.

A: Given: fx=x3-12x

Q: Analyze the stationary points of f(x) = x2ex by applying the second-order derivative test.

A: Stationary points are occurred where the first derivative of the function becomes zero. If the Value…

Q: Find the x-value for all relative extrema of f(x) using the first derivative test. Specify whether…

A:

Q: Find the critical points of y= -2x^2 +4x +3 and apply the Second Derivative Test to find the maximum…

A: Critical point and extreme points

Q: Find all the points on the graph of (x² + y²)² = x² – y² that have vertical tangent line.

A: This question is taken from the tangent and line in which we have to all points on the graph that…

Q: Find the derivative at each critical point and determine the local extreme values. y = x(4 - x²)

A:

Q: Find the local minimum and local maximum values of the function g(x) = 6x2− 4x3 using both the First…

A:

Q: y = 3x4 – 8x³ + 6x²

A: Given equation is: y=3x4-8x3+6x2 Applying first derivative test for this equation:…

Q: Find an equation of the tangent line to the graph of the function f(x) = x2 + 3x +5 at point (-4,…

A:

Q: 2. f(x) = V-3x+ – 2

A:

Q: Find the point (xo, yo) on the graph of y = x + 3x2 + 5x – 3, at which the slope of the tangent line…

A:

Q: find the critical points and apply the Second Derivative Test (or state that it fails). f(x) = x^2 −…

A:

Q: find the critical points and apply the Second Derivative Test (or state that it fails).…

A:

Q: find any locl maximum and locl minimum values by using first derivative: f(x)-x-2x

A: Given :           f(x) = x4 - 2x2

Q: Find the point (xo, yo) on the graph of y = x + 9x2 + 3x - 4, at which the slope of the tangent line…

A:

Q: At which points on the curve y = 1+40x³ –3x does the tangent line have a locally naximum slope? A…

A:

Q: -f(x)=√√5x² +2

A: Please see the answer below.

Q: Suppose the derivative of the function y=f(x) is y’=(x—1)^2(x—2). At what points, if any, does the…

A:

Q: Find the points on the graph of f(x) = 36x – 3x³ where the tangent line is horizontal. %3D

A:

Q: find the critical points and apply the Second Derivative Test (or state that it fails). f (x) =…

A:

Q: 6. Find the local maximum and minimum values of f (x) = 9 + 9x² – 6x³ using both the First and/or…

A: In this question we have to find local maximum and minimum values of the function.

Q: Describe how you would use the second derivative to determine a local minimum or maximum.

A: Given data is: How you would use the second derivative to determine a local minimum or maximum

Q: Find the x value for all relative extremes of f(x) using the first derivative test. And specify…

A: Given,            f(x) =x2 - 15x - 15x + 1

Q: Suppose that the first derivative of y = ƒ(x) is y′ = 6(x + 1)(x - 2)2. At what points, if any, does…

A: To determine if the function has any points of maxima, minima or inflection, use second derivative…

Q: find the critical points and apply the Second Derivative Test (or state that it fails). y = 6x^3/2 −…

A: