Determine the average rate of change on the given internal function f(x)=x3-2 a.[-1,0] b.[1,2]

Q: Find the average rate of change of f(x) tan x from to

A: f(x)=tan x

Q: Find the derivative of the function

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Q: Find the derivative of the function at P in the direction of A g(x, y) = x - (v² /x)+ /3 sec*(2xy),…

A: To find: The derivative of the function at P0=1,1 in the direction of  A=12i+5j Given information:…

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: Consider the function f(x, y) = y³ – 2y – x². Find the direc- tion of greatest increase at the point…

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Q: Find the average rate of change for the function over the given interval. y - 1 and x = 0 y%3D…

A: Givena function y = 5x + 7, between x = -1 and x = 0 Average rate of change for the function over…

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

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Q: Consider the function f (x) = x2. Calculate the rate of change of f (x) at x = 1, and compare your…

A: Consider the function f (x) = x2  To Calculate the rate of change of f (x) at x = 1.

Q: |If f(x) = a4 is the parent cubic function, prove that the AVERAGE rate of change of f(x) over the…

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Q: 3. If f(r, y) = x*y - 2x-4y, then the total derivative of f

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Q: Find the derivative of the function 3 f(x) = V (x² – 2)' at x = -1. f'(- 1) =

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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: Find the linear approximation of f(x)=ln(x) x=1 and use it to estimate ln(1.1). L(x)= ln(1.1)=

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

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Q: Find the linear approximation of f(x) = ln x at x = 1 and use it to estimate ln(1.33).

A: The linear approximation of f(x) at x=a is given by L(x)=f(a)+f'(a)(x−a) Given, f(x)=ln(x) at x=1.…

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: Find the average rate of change of f(x) = x2 + 3x + 1from 1 to 2. Use this result to find the…

A: Average rate of change of a function f(x) is calculated as the total change in the function divided…

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

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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,

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Q: Determine the 3rd derivative of the function y=x3/x+2 at x=−1.

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Q: find the average rate of change of the function overthe given interval or intervals. g(t) = 2 + cos…

A: Given, g(t)=2+cost, -π,π The average rate of change of function f(x) over an interval [a,b] is,…

Q: Find the derivative of y with respect to the appropriate variable. y= cosh 2x+2 O A. V(4x + 9)(x +…

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Q: Find the derivative of the functions below: Rw) = x In(e f'(x) = a) f(x) = In(3x) f'(x) = b).

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Q: Find the derivative of the function f(x, y) = e³ at the point (0, 2) in the direction in which the…

A: The derivative of function f(x,y) can be determined by the gradient of the function,…

Q: The derivative of the function y = x² In(x + 1) is:

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Q: What is the average rate of change of y = cos(2x) on the interval 0,? a. = b. -1 с. О d. 4 e.

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Q: Ax) = Vã Vx = /x хх e

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Q: Find the derivative of the function. f(x) = e In( Vx + 8 f'(x) =

A: Given, f(x) = ex ln(x+8) We have the formulas d(ex)/dx = ex                       ...........(1)…

Q: The average rate of change of f(x) = cos(x) with respect to x as a changes from 0 to π is 2 OOO 2 -2…

A: We have to find the average rate of change.

Q: Find the derivative of the function at the given point in the direction of A. 3) f(x, y, z) = -10x+…

A: Here initially we need to find out the partial derivative of the given function to find out the…

Q: The total derivative of f(x,y )=3 x+ 3 y-41n y is

A: Given function is fx,y=3x3+3y2-4 ln y find the total derivative  dz=fxx,ydx+fyx,ydy

Q: Find the derivative of the function f(x,y) = tan at the point (3, - 3) in the direction in which the…

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Q: Determine the average rate of change of the function y = cos x from x = 4 77 to x = 4 v2 V2 2 2

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Q: 3. Find the derivative of f(x, y, z) = z2 + ye" at (In 2, 2, 1/2) in the direction in which the…

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Q: Find the average rate of change of the function over the given interval. y = V4x + 1; between x =0…

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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: Compute the derivative of x(x + 2) (2x + 1)(3x + 2) y = (a) directly using the Chain and Product…

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Q: Find the derivative of the function. F(x) etd dt F'(x) =

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Q: Find a formula for n.th order derivative of the given functions. 1 b) f(x) = VT 1 a) f(x) = c) f(x)…

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Q: find the derivative of the function at P0 in thedirection of v. ƒ(x, y) = 2x2 + y2, P0(-1, 1), v =…

A: Given: fx,y=2x2+y2  We know that, The direction of v is the unit vector obtained by dividing v by…

Q: Find the derivative of the function. y = In) x +6. (a)"* g(x) = log,(x) 9'(x) = (b) y = x5x + 2 (c)

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

A: The formulas for the backward, forward, and central differences to approximate the second derivative…

Q: The total derivative of the function f(x, y) =3x'y- xy is

A: Find the total derivative

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: Compute the derivatives of the given functions. a) f(x) = 3 ln x. f'(x) = b) g(x) = In(x*). g(x) =

A: Given f(x)=3lnx now we need to calculate the derivative of f(x) f'(x)=ddx(3lnx)=3ddx(lnx) deriative…

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

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