5) Find the average rate of change of f(x) = 4x³ - 5 over the interval [-1,2]. %3D

Q: find the average rate of change of the function overthe given interval or intervals. ƒ(x) = x3 + 1…

A:

Q: Find the average rate of change of the function on the interval specified. h(x) = 3 − 6x2  on  [−2,…

A:

Q: Find the average rate of change of f(x) = x² - x + 1 from x, = 1 to x, = 3. %3!

A: We have to find the average rate of change of function fx=x2-x+1 from x1=1 to x2=3. We know average…

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

A:

Q: What is the average rate of change of the function f(x): = x² between x = -3 and x = 3?

A:

Q: Apply the second derivative test to find all relative extrema. - 5)² (a) f(x)=(x

A:

Q: Find the average rate of change of f(x) with respect to x on the interval. f(x)= x^2 -5x+1; [-3,0]

A: f(x)=x2-5x+1;-3,0 We need to find the average rate change of f(x)

Q: Find the average rate of change of the function between the given values of x. y = −5x − x2 between…

A: The given function y and the values of x between which the average rate of change of y is to be…

Q: (a) Find the average rate of change of f(x) from x = 1 to x = 2. 7 (b) Using the definition of the…

A:

Q: Apply the second derivative test to find all relative extrema. (c) f(x) = 1

A: To find the relative extrema first we  find the critical points. The critical points are the values…

Q: In x se the second derivative test to find the local extrema for the function f (x) = x3 •

A:

Q: Find the average rate of change of f(x)=x² – 5x from: x, =-1 to x, = 3

A: We will find the average rate of change of the function.  We know,  the average rate of change =…

Q: Find the instantaneous rate of change of y with respect to x at x=2 of the function y = 2x³ + 4 %3D

A: To Find: The instantaneous rate of change of the function y=2x3+4 at x=4. Given: The function is…

Q: Let f(x)=x² – 3x'. For what value(s) of x in [–1, 1] is the slope of the line tangent to the graph…

A:

Q: Find the average rate of change of the function over the interval [-2, 1] f(x) = 2.x³ – 5.x +3

A: To determine the average rate of change of the below function over the interval [-2,1]. fx=2x3−5x+3

Q: Find the relative extrema of f (x) = 7+ 144x – 9x? using both first %3D and second derivative tests.…

A:

Q: 5) Find the second derivative of f (x) = %3D ex plify your answer as much as possible

A: fx=1-2xexTo find the second derivative

Q: What formula will describe the average rate of change of f(x) = 3* over the interval [0, 3]? Don't…

A:

Q: 2. Determine the true error and relative true error when approximating the derivative of f (x) = -x²…

A:

Q: Calculate the derivative of f1 (x) = (2x + 3) / (x - 5) using the definition of the limit of the…

A: To find- derivative of the given function using definition  of limit.

Q: What is the instantaneous rate of change of f(x) = V +2-3 at %3D x = -2?

A:

Q: Determine the RMS Value of y=root x over the range of x=0 and x=1

A: We have to find the rms value of the given function over the given interval.     This problem can be…

Q: Find the average rate of change of f(x)=x2−x+2 on the interval [1,t].

A: To find the average rate of change of function

Q: Find the average rate of change of f(x) = 8x2 - x:(a) From 1 to 2       (b) From 0 to 1     (c) From…

A:

Q: Q:1 Find the second derivative of f(x) = 2x5 - 3VX7 at x = 1 rounded to five decimal places.

A: To find the second derivative of  f(x)=2x⁵-3x7/3 at x=1

Q: Find the average rate of change of the function between the given values of x. y = −5x − x2 between…

A:

Q: What is the average rate of change of y with respect to over the interval [-1, 2] for the function y…

A:

Q: 10. Estimate the instantaneous rate of change of f(x) = interval with h= 0.001. Round to 2 decimal…

A: Let us find the instantaneous rate of change of the given function in the next step.

Q: What is the equation of the normal line of f(x) = ln(x² – 3) at the point x = 2 ? %3D

A: Given:fx=lnx2-3  at a point x=2

Q: F(x) = "(5t - 1) dt %3D

A: We need to find the first derivative of F(x)=∫x2x(5t-1)dt. By Leibniz's integral rule,…

Q: Find the x-value for all relative extrema of f(x) using the first derivative test, and specify…

A: f(x)=x3/3 + x2/2 -2x Find the x-value for all relative extrema of f(x) using the first derivative…

Q: #4) Given the function f (x) =x³-x² +2x- 1. Use the second derivative test, where applicable, to…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the relative extrema of f(x) = 4+70x – 5x² using both first and second derivative tests. f (x)…

A: Given:- f(x) =4+70x-5x2  To find:- Relative extrema of f(x) using both first and second derivative…

Q: 7) Find the average rate of change of the function A(x) = sin ( 2x - -) from x = to x =

A: A(x) = sin(2x - π/6) A(x2) = A(5π/6)          = sin(2*5π/6  - π/6)          = sin (9π/6)          =…

Q: What is the instantaneous rate of change of the function f ( x ) = 5 /x  at x = 3 ?

A: Given,        The instantaneous rate of change of the function fx=5x at x=3.We know that,…

Q: Find the average rate of change of the function on the interval specified. h(x) = 5 − 6x2  on  [−2,…

A: To Find the average rate of change of the function on the interval specified. h(x) = 5 − 6x2  on…

Q: using the forward divided difference approximation with a step of 0.5, what is the derivative of…

A:

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: 24. Estimate instantaneous rate of change of each function at the given x value using a centered…

A: Given :-  The instantaneous rate of change of each function at the given x value using a centred…

Q: nd derivative of f(x) = x In(x)

A: We have to find the second derivative of the given function

Q: Compute the average rate of change of f(x) = x2-1/x on the interval of [2,4]. Please show me each…

A:

Q: compute the rate of Change of the functioN at x= a. flx)= -2X²-X,Q= -5 instantaneous

A: Given function: fx=-2x2-x

Q: QUESTION 1 Compute the average rate of change of the function, f(x)=7x-6x - 4860 -, over the…

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: What is the average rate of change of f(X)= X2-2 on the interval [-1,3]?

A:

Q: What is an average rate of change of function f(x) over the interval [1, 6]?

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: Find the relative extrema of f(x) = 4+ 40x – 5x? using both first and second derivative tests. f (x)…

A: Explained below

Q: What is the average rate of change of f between x=3 and x=10

A:

Q: 6. Use the difference quotient to estimate the 2 instantaneous rate of change in f(x) = x² at x=3…

A:

Q: Find the average rate of change of the function f(x) = x 5x - 1, over the interval [-1,3

A:

Exponential Growth Model

The relation that represents an exponential function is: