-5 -4 -3 -2 -1 2 3 4 -2 -4 -5+ Use the graph of f(x) above to estimate the value of f'(- 1) to one decimal place. f'(-1) = %3D

Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

A: Given query is to find statement is true or false.

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

A:

Q: -3 Find the derivative for the function f(x) = (5x-4 + 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A:

Q: 5. Consider the function { Va if 01 f (x) = What is the derivative function for f(x)? What is the…

A: The given piecewise function is  f(x)=xif 0≤x≤112x+12if x>1

Q: Q-2) Prove that converting the Higher-Order derivatives to the finite difference formula would be:…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Find the derivative of the given function at a given number. 1. y = 3x² - 2 at f'(1)

A:

Q: question 32

A: Given,

Q: Suppose the function V represents the number of people vaccinated for COVID-19 in Kalamazoo country.…

A: Given : V represents the number of people vaccinated for COVID-19 in Kalamazoo country. To…

Q: The derivative of the function y = 2**csc-"(x²) is: %3D y'= 4 (n4)x' csc"(x*) 4 y'= 2 (In2)xsec"…

A: To find the derivative of the given function , we have to use the chain rule(Nested form of…

Q: Find the first derivative of each function. a) f(x)=ln (e^x+e^-x)

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

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

A:

Q: 1) Find First. three derivative of F(x) at x.2.2 f(x) : 16 40 S2 -2 Ans: f= 19.5 f" = 13.2 f"- 6.

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: shows the graphs of the first and second derivatives of a function y = ƒ(x). Copy the picture and…

A: The graph of y=f"(x) is a linear function. So it is of degree 1.  The graph of y=f'(x) is a…

Q: g(x) = 2x^6-5x^4+3x^3-x^2+8x-9

A: Given: g(x)=2x6-5x4+3x3-x2+8x-9 To find: The nth derivative of the function.

Q: 1. At the point (1, -1), the function (z,y) has a derivative of b in the direction toward (3, 1) and…

A: Given  that at the point (1,−1), the function f(x,y) has a derivative of 5 in the direction toward…

Q: QUESTION 2 Let f(x) be a function with second derivative of f"(x) =(x+8)(7x –11)(x – 13). Determine…

A:

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: Suppose a tour guide has a bus that holds a maximum of 110 people. Assume his profit (in dollars)…

A: Given : Profit function P(n) = n(55-0.5n) - 110 Maximum value of n = 110.   To find : a. How many…

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: The function f(x)=6x^{2}+2x-1 is the derivative of F(x). It is known that F(0)=-1.5. Determine the…

A:

Q: Man, i have a simple question: Assuming that the derivative of f(x) is on the image, f(x) is…

A: Function f(x) is increasing in an interval if f'(x) > 0 in that interval. Hence, we need to find…

Q: Find the average rate of change of f(x)=−x2+9x on the interval [1,6].

A: Given: The given function is, f(x) = -x2 + 9x  on [1, 6]   To determine: The average rate of change…

Q: The derivative with respect to x of the function y = 3tan ¹x - y' = cotx O the above (In 3) log3…

A: Given y=3tan-1x-ln3log3cosecx

Q: 1. Create your own function f(x) of the form F (x) = f (x)·g (x). In other words, F(x) is a product…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use the definition of derivative to find f"(x) and f"(x). f(x) - 3x + Sx + 1 "(x) - "(x) - Graph f,…

A:

Q: 1. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = – x,…

A: The graph of fx=x is given. The equation for the left side of the graph is y=-x and the equation…

Q: 1. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = – x,…

A: The graph of f(x)=x is given

Q: if f(x) = x²√In x² x . find the derivative of this function f'(x) A. f'(x) = B. f'(x) = c. f'(x) =…

A:

Q: 9. The derivative of a given function f(z) is f'(2) = z² - 2. a) What are the critical points of…

A: To solve the following

Q: Example 7: Find all of the second derivatives for f (x, y) = 3xy2 + 2xy + x2. %3D

A:

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

A: Given:

Q: Ах3+ Вх + 2 , x2

A: Solved below

Q: 4.) f (x) 3D х2 – 1

A:

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

A:

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

A:

Q: Q-1] Find the derivative of the function -9 9 -7 -4 -3 9. 3 6- f(x) = det 6 -1 -2 5 -8 -8 1

A: It is known that if fx=axbxcxdx , then f'x=a'xb'xcxdx+axbxc'xd'x Given matrix is…

Q: 5. Suppose f(-2) = 3, f'(-2) =-4 g(-2) = 1, gʻ(-2) = 2. Let h(x) = f(x) g(x). 5.1. What is the slope…

A: 5 (5.1) The slope is equal to the derivative of the function h(x) at any point x. Use the product…

Q: 3. Suppose a car travels at a constant rate of 70 kph for 2 hours and travels 55 kph thereafter.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2(1-x²) (1+x²)² A. f'(x) = B. f'(x) = c. f'(x) = D. f'(x): = f(x) = find the derivative of this…

A:

Q: 7. The table gives selected values for the derivative of a function f on the interval -2<x<2. If…

A: The answer is given below

Q: e average rate of change of the function from Function X-Values f(x) = -2x3 + 8x2 + x X1 = 1, x2 = 8

A: Given : fx = -2x3+8x2+x

Q: Find the derivative of a function at a given point F(x)= 2e^x-x at x=1 F(x)= x^3-5x at x=2

A: We have to find derivatives of the function: Fx=2ex-x at x=1 and Fx=x3-5x at x=2. We know the…

Q: 2. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = - x,…

A: Given: The graph of function fx=x as To determine: The complete table  Using left side of function…

Q: 2) Use the chain rule. (Chapter 2.5) Find the derivative y= (x² +3x)*

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: 14) Find the first derivative of f(x) = 2*²2*

A:

Q: 2. Use the definition of the derivative to find the first and second derivatives of the function. 1…

A:

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

A:

Q: A tank contains 1000-gallon of pure water. Starting at time t = 0, a solution containing 0.2 lb of…

A: