Calculate the average rate of change of the given function over the g flx) = 3x2 - 승: [7, 10] x² -; [7, 10] -50.5 Need Help? Read It

Q: Compute the derivative of the function F (x) = L evi dt.

A:

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

A:

Q: Using the Backward, F

A: Given,               f(x)=-0.5x5+0.18x4-1.2x3+0.8x2-2.3 and x=0.25, h=0.05

Q: The instantaneous velocity of a particle is defined as the derivative of some functions. Select one:…

A:

Q: Find all points on the interval (1, 3) at which the slope of the tangent line equals the average…

A:

Q: Estimate the instantaneous rate of change of P(x)=5/x+2 at the point x=2

A:

Q: Evaluate the derivative at x = 1 for y = In ()

A: For a function f its derivative is defined as f'(x)=limh→0f(x+h)-f(x)h. For some standard functions…

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: 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: Find the derivative of the function. F(x) = et dt

A: The function is given as F(x)=∫xx2et4 dt. The Leibnitz rule of differentiation under the integral…

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 2x? +…

A: We need to find instantaneous rate of change of  f(x)=2x2+5x+7 at x=3, using limit definition of the…

Q: What is the derivative of cosh-1(xy) + elog x = sec3(y2)

A:

Q: Estimate the true percent relative error for the first derivative of the function, y =[eln)P, at x =…

A: We can solve this using Central difference formula f'(x) = (f(x+h) -f(x-h))/(2h)   The value of…

Q: An open cylinder can has an inside radius of 2cm and an inside height of 5cm. use the total…

A: We will estimate the volume of cylindrical metal as following. Inside radius = 2 cm Inside height =…

Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

Q: 54th Dorivative: fle)=2-4sin (a2)

A:

Q: If the instantaneous rate of change of ƒ1x2 with respect to x ispositive when x = 1, is ƒ increasing…

A: As instantaneous rate of change  of f(x) that is f'(x) is positive means the function f(x) is…

Q: Let f:[-n, 7] –→ R, where f(x) = 2 sin (2x) – 1. TC Calculate the average rate of change of f…

A:

Q: Find the derivative of f(x) = Vx2. What is f'(5), rounded to 3 decimal places?

A:

Q: Use forward, backward and central difference to estimate the first derivative of f(x) = In(x) at x =…

A:

Q: . What is the average rate of change of the function g(t) over the interval from t=atot=b? How is it…

A: Suppose gt be a function defined on the interval a , b Then, the average rate of change of the…

Q: Compute backward difference approximations for the first derivative of the function, y = log(x? +…

A: Given is the function y=log(x2+1)2   .  It is needed to compute backward difference approximation…

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

A:

Q: Find the total derivative of V with respect to X

A: As the differentiation is with respect to x, x becomes the variable. y and z becomes constants

Q: Find the average velocity of the function over the given interval. y= - 3x? - x, [5,6] – X,

A:

Q: Find the (a) approximate error and (b) relative approximate error of the following: The derivative…

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 the function from x, to x,. Function x-Values f(x) = x² – 3x + 8…

A: The given function and x -values are: fx=x2-3x+8, x1=1, x2=5 Now, calculate the average rate of…

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: What is the derivative of y = e3 In(5 + e3)? %3D

A:

Q: Find the average rate of change of h1x2 = x2 - 2x + 3:(a) From - 1 to 1(b) From 0 to 2(c) From 2 to…

A: Since it is known that the average rate of change can be calculated using the formula…

Q: The average rate of change of fx) = ax' Over the interval osxs1 IS a

A:

Q: Apply central divided difference approximation (CDD) to find the first 5 derivative of F(x) = e0.8x…

A: To find the first five derivatives of fx=e0.8x when x=24 using central divided difference…

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: If f(x) = cos(2x), which of the equations below describes the average rate of change of f(x) over…

A:

Q: Estimate approximate derivative of f(x) = x2 at x = 1, for h = 0.2, 0.2, 0.05, 0.01 using first…

A: Given function is fx=x2. We have to estimate approximate derivative of the given function at x=1 for…

Q: Use Richardson extrapolation to estimate the first derivative of Y = sin x at * = π/4 using step…

A: Given the function  y=sinx

Q: Compute central difference approximations for the first derivative of the function, y =[ elnx)2 , at…

A:

Q: What is the relative error in estimating the fırst derivative of f (x) difference approach with…

A: We can solve this by using central difference formula and relative error formula

Q: Use backward, forward, and centered difference approximation to estimate the second derivative of…

A:

Q: Find the instantaneous rate of change of y =- at x = a

A:

Q: Find the 2nd derivative of the given function fCt) = t² Int

A:

Q: 42. f(x) = sec² x, [

A:

Q: . Use a similar procedure to estimate the instantaneous rate of change of y = 3" at r = 0. Show your…

A:

Q: Find the derivative of the function.

A:

Q: Use Richardson extrapolation to estimate the first derivative of y = cos x at x = π/ 4 using step…

A:

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. (x, y)…

A: First find gradient and take magnitude for max rate of change

Q: What is the derivative of the function B(x)=3/(x+2) at x=a?

A:

Q: Estimate the true percent relative error for the first derivative of the function, y =[e!n(x)72, at…

A: We can solve this using Central difference formula f'(x) = (f(x+h) - f(x-h))/(2h)     x 0.95 1…

Q: Let f(x)= 2x^3+3x^2-12x on [1,3] What is the average rate of change in f on [1,3]?

A: