Find the average rate of change of f(x) = 5x - 6 on the interval [3, a]. Your answer will be an expression involving Preview

Q: Estimate the instantaneous rate of change of the function f(x)=−x2+4x−4 at x=1 using the average…

A: Consider the given function f(x)=−x2+4x−4

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A: Given function is By using the properties of logarithm, ln(a/b)=ln(a)-ln(b) and ln(a^b)=bln(a), we…

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Q: Find the derivative of the function f(x) = V (x² – 3)° at x = 5 at x = – 2. f'( – 2) = Preview

A: Given :    f(x) = x2-356    , x = -2

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

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Q: What is the average rate of change of the function f(t) = -3t between t--4 and f--3?

A: what is average rate of change of the function f(t)=t2 -3t between t=-4 and t=-3   answer  put t=-4…

Q: Use the Second Derivative Test to find all relative extrema. h(t) = -x + 6x² - 4

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Q: What is the derivative of f(x) = - 3 with respect to r? %3D

A: Given: The function f(x)=-3x3

Q: Find the relative extrema using both the first and second derivative tests. f(r) = 2x³ – 9x² + 12x.…

A: Consider: fx=2x3-9x2+12x. Critical point is the point where the derivative of the function is either…

Q: Given the function f(x) = (x-2)2 + (y-3)2 (i) Find the critical points. (ii) Using the second…

A: The given function is: f(x,y)=(x-2)2+(y-3)2

Q: Find the average rate of change of f from 0 to π /6 . f(x)= tan x

A: Given :           f(x) = tan x   To find the average rate of change of f from 0 to π6.

Q: Use the first derivative test to find and classify the relative extrema of x2 +8x+ 16 f(1) = For…

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

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Q: fx て (X)

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Q: Find the derivative a) y = x sinh-(x) – Vx² + 1 b) y = cosh-(2Vx +1)

A: The derivative is calculated as:

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: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative.

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

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

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

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

A: Topic- Vectro

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

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

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

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Q: given the function f(x) = (x+4)^2 + (y-2)^2 (i)find the critical points (ii)using the second…

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Q: Find the weak derivative of f() = |x² – x + 1/5| on the 1) interval (0,1).

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Q: Estimate the slope f'(3.5) for f (x) = sin(3x) using: a. Forward difference approximation with h =…

A: f(x)= sin3x x y y1 y2 y3 y4 3.3 -0.1557             -0.193       3.5 -0.3507   0.0139…

Q: Let f(x, y) = cos(x+y²). Compute the rate of change in the direction of fastest increase for f at…

A: Find gradient and its magnitude then solve

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

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

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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…

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Q: Find teh average rate f change of f(x)=3x^(2)-x from x_(1)=-1 to x_(2)=2

A: Solution: The objective is to find the average rate of change of the given function

Q: Find the derivative of f (x) = VI- 4z. To enter va, type sqrt(a). f' (2) = 固助

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Q: 42. f(x) = sec² x, [

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

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Q: Find the derivative of the function.

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Q: Determine the instantaneous rate of change of the function f(x) x4 at the point where x = -2.

A: instantaneous rate of change of a function is differentiation of function at that point

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

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

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

A: Explained below

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

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Q: 1 f(x) = (x² + 3x)² at [2,3]

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Q: The derivative of f(z) = Log(2iz - 4+6i) at z = -3+i is

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Q: What is the average rate of change of f(x)= x2 -2 on the interval [-1,3]?

A: