olve for the 2nd derivatives and accuracies of f(x) = -0.1x4-0.15x3-0.5x2-0.25x+1.2 at x=0.5 and a step size of h=0.25 Using A. Forward finite-divided difference B. Backward finite-divided difference C. Centered finite-divided difference

Q: 3. Approximate the first order derivative of f(x)= x² + 2x at x = 3, using Forward, Backward and…

A: Formulas for differences are enclosed next page

Q: 4.20 Consider the function f(x) = x' – 2x + 4 on the interval [-2, 2] with h = 0.25. Use the…

A:

Q: B. Compute the derivative function f using the definition of the derivative. Show your complete…

A:

Q: Find the average rate of change of the function on the interval specified for real number h. f(x) =…

A: We have to find average rate of change of the function f(x)=6xr+y on [x, x+h]

Q: 1. Determine the true error and relative true error when approximating the derivative of ƒ(x) = -x²…

A: solution is here

Q: Find the average rate of change of the function on the interval specified for real number h. j(x) =…

A:

Q: hen using the quotient that appears in the definition of the derivative and evaluating it for for…

A:

Q: Determine the point(s) at which the graph of f(x) =  -4x/square root of 2x-1   has a horizontal…

A:

Q: 11 at x = 10 Find the derivative of f(x) = f' 10 |(Type an integer or a simplified fraction.) %3D

A:

Q: Let f(x) = 3x² - 2x. (a) Use the definition of derivative and the procedure given in this section to…

A: Given that: f(x)=3x2-2x

Q: Suppose that antibiotics are injected into a patient to treat a sinus infection. The antibiotics…

A: The concentration is given as , Ct=e-αt-e-βtβ-α where α and β are constants with β > α > 0.

Q: 1) Use forward and backward difference approximations with error of O(h²) and a centered difference…

A: As per the question we are given the following function : f(x) = x2e-3x/7 And we have to find the…

Q: 1) Use forward and backward difference approximations with error of O(h²) and a centered difference…

A: Given function  fx = x2 e-3x7 Step size h =0.2

Q: 1. Given f(x)= (a) Show that f'(x)= 2(x² -16) 3x by using the quotient rule. Hence, find all 11 the…

A:

Q: Find the r-value for all relative extrema of f(x) using the first derivative test. 1+x +x? f(x) : x2…

A:

Q: Q:2. Use the first derivative test to find the intervals on which the function is f(x) = x4. which…

A:

Q: Use y = (x2 - 2x)² and its derivative Y = 4x(x – 1)(x – 2) to find each of the following. dx Find…

A:

Q: 8) For the function y = x³ – 9x2 + 24x + 13, use the second derivative tests to: a) determine the…

A:

Q: .) The instantaneous rateof change fucntion of f(x) = 4x² - 2x + 8 or the derivative of f(x) is: a.…

A: Given that: (i) f(x)=4x2-2x+8(ii)f(x)=sin x

Q: for the function: f(x)=2/3 x^3-2x^2-6x a.what is the domain b.what is the first derivative f'(x)…

A: Given f(x)=23x3-2x2-6x (a) Domain are the set of x values for which the function is defined In the…

Q: Find the intervals of concavity and points of inflection of y = x+In(x² + 1). Make sure to show all…

A:

Q: Use y - x(x - 5)2 and its derivative dy - 5x(x - 3)(x - 5) to find each of the following. 18 dx 18…

A:

Q: 12. The Definition of the Derivative Find the formula for the instantaneous rate of change of f(x) =…

A: Given:

Q: Use y = (x² – 4x)² and its derivative Y = 4x(x – 2)(x – 4) to find each of the following. dx Find…

A: Given, y=(x2-4x)2 dydx=4x (x-2)(x-4)

Q: gives the first derivative of a continuousfunction y = ƒ(x). Find y″ and then use Steps 2–4 of the…

A:

Q: A company wants to accumulate Tk. 100000 to purchase replacement machinery 8 years from now to…

A: Solution is given below:

Q: A certain paper-cutting machine produces various sizes when increasing the length of a rectangular…

A:

Q: rmine the coordinates of the point(s) on the graph of f(x) = 5x ^3 - 2x ^2 where the tangent line is…

A: We have to find the coordinates of the f(x)=5x3-2x2 where the tangent line is perpendicular to the…

Q: 6. Evaluate for the derivative estimate of the function at xi = 0.8 using the step sizes h = 0.01…

A: "Since you have asked a question with multiple sub-parts, we will solve the first 3 sub-parts. For…

Q: 2.) f (x) %3D х

A:

Q: Use  y =  x3(x − 5)2 12 and its derivative  dy dx =  5x2(x − 3)(x − 5) 12 to find each of the…

A: Given, the function

Q: A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with…

A: Given problem:- A cardboard box manufacturer wishes to make open boxes from rectangular pieces of…

Q: Find the average rate of change of the function on the interval specified for real number h. p(x) =…

A:

Q: Find the average rate of change of the function on the interval specified for real number h. f(x) =…

A:

Q: Use y = (x² – 6x)² and its derivative = 4x(x – 3)(x – 6) to find each of the following. dx Find the…

A: we'll answer the first question since the exact one wasn't specified ,please submit a new question…

Q: Find the relative extrema of f(x) = 2+ 90r 5x using both first and second derivative tests. f(x) has…

A: We can find the relative extremum as below

Q: 1. Determine the slope of the tangent line to the function f(x) = 2…

A:

Q: Q1) Use forward and backward difference approximations of O(h) and a centered difference…

A: Given,                        F(x)=53x3-52x2-5xand          x=2,      h=0.5

Q: The tangent line to the graph of y=f(x) at the point (7,55) has the equation y=8x−1 (a) Find f′(7)…

A:

Q: Using forward, backward, and central finite divided difference to find the first derivative of f(x)…

A: here we find the first derivative of the function f(x) = ex -2x2 +3x -1 at x = 0.6 and h = 0.2 by…

Q: 2x2 Using the second derivative test for critical points of the function y = –x' 3 16x, which of the…

A: We have to find out

Q: 4). Given y = 2x3 – 3x2 – 36x + 14 - a). Find all intervals for which y is increasing and…

A:

Q: Find the instantaneous rate of change of f(x) = x* at x = 3. %3D Find the derivative of g(x) = x + x…

A: 1) Given, f(x)=x2 at x=3 Use the definition of instantaneous rate of change: The instantaneous rate…

Q: Find the average rate of change of the function on the interval specified for real number h. f(x) =…

A: We will use the average rate of change formula. f(x+h)-f(x)h

Q: Using the following finite difference methods to estimate the first derivative of the function f(x)…

A: The complete solutions of (a),(b),(c) are given below

Q: 4. Using the expression (x + Ax)² = x" + nx-Ax +n(n – 1)x"-²Ax² + + Ax" ... prove that if f = ax"…

A:

Q: I. Solve for the derivative of the functions using chain rule. Box your final answer. 3 1. f(x) =…

A: Since you have posted multiple questions i can do first three question as per our company guidelines…