ICS 261 Use the first derivative test to find the extrema points. SHOW YOUR WORK! #1) f(x) = 8x3-24x2 + 18x + 6 x2 #2) f(x) = x + 2

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

A:

Q: use the second derivative test to find the local exterma of the function  f(x) =x3-9x2-48x+72 on R

A:

Q: Q1 Prove that the derivative of (2x +1) 2 is 4 (2x + 1) by using first principle derivative.

A:

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. x. 4 g(x)…

A:

Q: Let f(x)=x+(1−x)^(1/2) Find the local maximum and minimum values of f using both the first and…

A: For local maxima or minima:The first derivative test is f'(x) = 0The second derivative test…

Q: 2. Use rules of differentiation to find the derivative of the function 5a° (x- +3) g(x) = x2 +1 Show…

A:

Q: Find all relative extrema of the function f(x) = x* – 4x2 + 2 by using the Second Derivative Test…

A: Given, The function  fx=x4-4x2+2 We have to find the all relative extrema of the function using the…

Q: use the second derivative test to find the local exterma of the function f(x) =x3 -9x2-48x+72 on R

A:

Q: Find the local maximum, minimum and saddle points of the function using the second derivative test:…

A:

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests. x2…

A:

Q: Find the x-value of the extrema by using the Second Derivative Test. Justify your answer. 1 f(x) =…

A:

Q: Find the relative maxima and minima of y by the second derivative test:    y = 2x / 1-2x

A: Given- y=2x1-2x To find- The relative maxima and minima of y by the second derivative test: Concept…

Q: Suppose that the SECOND DERIVATIVE of a function f is given by f" (x) = (x – 2)² (x² – 4x). Find the…

A:

Q: Use the definition of a derivative to determine all points for the function f(x) = ((x+|x|)^2)+1 is…

A:

Q: Find the x value(s) of any relative extrema. Use the Second Derivative Test to verify. f(x) = -x3 +…

A:

Q: .Find the Global Extrema for f(x) = Bx4-BeB-A)x. Use the second derivative to determine if those…

A:

Q: 7 Let f(x) x – 9 * Then according to the definition of derivative

A:

Q: Use the First Derivative Test to locate the x-value of all extrema. Classify if it is a relative…

A:

Q: The derivative of the function f is defined by f'(x) = x² - 3 sin (x - 5). What is the x-coordinate…

A: How to find absolute minima of function f(x) in a given closed interval: find the critical points…

Q: 3. Find all -values where the graph of f(x) = x³ + 3x² + x + 3 has a horizontal tangent line.

A: Solution is given below:

Q: Locate the critical points of the function f(x) = x + 2x + 6x - 4 and use the second derivative test…

A: We solve the equation f'(x)=0 to find the critical points of the function. If a is a critical point,…

Q: Find the derivative of the functron. Simplify and express the answer anly. using positive expenents…

A: In this question the given function is y=(x2-5)3x2+3 we have to find y' In positive exponents only

Q: The tangent line to y = f(x) at (-1,-8) passes through the point (-7,5). Compute the following a.)…

A: The tangent line to y=f(x) at (-1,-8) passes through the point (-7,5)

Q: The first derivative of the function h is given by h' (x) = x³ – 3x2 + x. What are all intervals om…

A:

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

A:

Q: Q1 Prove that the derivative of (2x +1)2 is 4 (2x + 1) by using first principle derivative.

A: as per our guidelines we are supposed to answer only the first question. Kindly repost other…

Q: Show with the middle value theorem that the second derivative f'′ has at least one zero (for this…

A:

Q: 1. Evaluate the derivative of f (x)= sec(In(x²)). DO NOT SIMPLIFY.

A:

Q: (A) Find the absolute maxima and minima for y 4x +1 over 3 - [-V5, V5]. (B) Use the second…

A:

Q: Find all critical points of f(x) = 3 + 12x - x² and use the First Derivative Test to determine…

A:

Q: 5. Use the concept of limits to find derivative of f(z) = (2z + 1)3 at z = -i.

A: Given function is f(z)=2z+13 We have to find the derivative of the given function at z=-i.

Q: Use the first derivatives test to find the local exterma of f(x) =x3-12x on R

A:

Q: Choose the correct value of derivative. d dx x+1 X () is equal to (Hint: Look at the note of section…

A:

Q: Use the second derivative test to find the local exterma of the function f(x) =x3+12x2-5 on R

A:

Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A:

Q: find all critical points of f and use the First Derivative Test to determine whether they are local…

A: Consider the function

Q: Find all relative extrema of the function f(x) = x² - 4x² + 2 by using the Second Derivative Test…

A:

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 4 3 +2…

A:

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

A:

Q: 5. Use the Second Derivative Test to find all local extrema of the function below. (3 points total)…

A: To find the local extrema of the given function f(x)=x4-4x3+2

Q: Use second derivative test, If f(x) = 36x + 4 then f(x) has a local 3 maximum at the point O x = -7…

A: Here we need to find the local maxima of the function.  The solution is following .

Q: Use the second derivative test to locate all local extrema for the function f(x)=x3−32x2−18x. At…

A:

Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A:

Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A: Given function, fx=e-x a=-0.1 Formula for the linearization at x=a is given by Lx=fa+f'ax-a

Q: Find the derivative of the given functions using chain rule. 1. f(x) = (2x + 1) 2. f(x) = (x² + 4x –…

A: To solve the following derivatives using chain rule and product as well as quotient rule.

Q: Use the definition of a derivative to show that if f(x) = 1/x, then f'(x) = -1/x². (This proves the…

A: Given: fx=1x

Q: *** Use the first and second derivative to sketch the graph of f(x) = In(x² +1). In particular,…

A:

Q: Find the critical points of f(x)=3x^4 -4x^3 +5 and use the first derivative test to determine local…

A: Given,          fx=3x4-4x3+5

Q: 5л? + 3х — 14 (а) f(*) %3D 5х — 4 6x² + 4/x (b) f(x) = %3D

A: