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

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

A: f(x)=tan x

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

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Q: Find the derivative of the function. y = In|sin x| dy dx I|

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Q: 元 Determine the average rate of change of the function y = sin x from x = 0 to x =

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Q: Find the derivative of the function.

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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 differential of the function y= (r + 3)*

A: The given function is                                 y=x2+33

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: Determine the average rate of change of the function y = sinx from X = 0 to x = 2 O1 2

A: The average rate of change of the function f(x) can be calculated using the formula Average rate of…

Q: Estimate the true percent relative error for the first derivative of the function, y = cos(sin(x)+…

A: We have to find 1st derivative using central difference method and then calculate true percent…

Q: Find the slope and the rate of change of the slope with respect to x when x = 2 cos (3t) - 3 sin(2t)…

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Q: Find the rate of change of y with respect to x at the indicated value of x. sin(x) :- 11 - cos(x)' y…

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Q: Find the rate of change of the distance between the origin and a moving point on the graph of the…

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Q: B) F(x) = "* In x sin e'dt

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Q: Given the function f(x) √x f(x) = COS 2 1 + √r dr Determine the instantaneous rate of change at x =…

A: Using Leibniz rule of derivative

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: 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 average rate of change of f from 0 to f(x) = sin The average rate of change is

A: take x=0 . take

Q: The exact differential of excos y

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Q: Find the differential of the function y=arcsinuv, where u and v are differentiable functions of x.

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Q: Find the average rate of change of f from 0 toπ/2 . f(x)=cos(2 x)

A: Find the average rate of change of f from 0 to π2 .     f(x)=cos(2x)

Q: Find the average rate of change of f from 0 toπ/2 . f(x)=sin( x/2)

A: Derivative of a function determines the change of one variable with respect to another variable.…

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: 5. Find the rate of change of the distance D between the origin and a moving point on the graph dx…

A: Given: y=x2+7 then A moving point on the graph is: (x,y)=(x,x2+7) And dxdt=8 cm/sec We have to find…

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 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: What is the instantaneous rate of change for α=arctan(2-r/r) at r=0

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Q: Find the rate of change of y with respect to x at the indicated value of x. sin(x) y = 5 - cos(x) X…

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Q: Determine the average rate of change of the function y= sin x from x= 0 to x=. O a) o O b) 2 O c) 1

A: The average rate of change of a function y=f(x) from x=a to x=b is (f(b) -f(a)) /(b-a)  For the…

Q: Find the rate of change of y with respect to x at the indicated value of x. y = csc(x) – 4 cos(x); X…

A: The given function is y = cosecx - 4cosx

Q: Find the derivative of the given function. t q= tan Vi+2 dq dt

A: The following formulas of differentiation can be used to solve the given derivative. i d dttan…

Q: Find the slope and the rate of change of the slope with respect to x when t = 90°. x = 2 cos (3t)-3…

A: This question can be solved using the concept of first and second order derivatives at t=90°

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 average rate of change (AROC) of the following functions over the interval [60 ≤x≤180] y =…

A: using , average rate of change…

Q: Find the derivative of the function. a. y = In(x + Vr² – 1) b. f(x) = log2 (e "cos Tr) COS

A: According to our policy, when multiple questions are posted we solve only the first question. sorry…

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

A: gt=2+cost,  0, π

Q: Find the average rate of change of the function over the given interval. Compare this average rate…

A: Average rate of change: Average rate of change of any function f(x) of [a, b] is, fave=fb-fab-a…

Q: 1. Find the average rate of change in y with respect to x over the interval [1, 7]. 2. Use the…

A: Given that: The function is f(x) = 4x -3 .

Q: 8x Find the average rate of change of f from 0 to 3 f(x) = sin

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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: 1 c. y = 4 sec÷x 4 Arctan 2x d. y

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Q: Determine the average rate of change of the function y= sinx from x= 0 to x=. a) 0 b) 1 O d) 를

A: The average rate of change of a function, g(x) , over the interval, c,d is calculated using the…

Q: Find the rate of change of y with respect to x at the indicated value of x. y = csc(x) – 4 cos(x); X…

A: Given that y=csc (x) - 4 cos(x).   ; x=π6 let’s find y1

Q: Find the average rate of change of the function on the interval specified Y=1/x on [1,3]

A: We know that ,The average rate of change of function over an interval a,bis given by f(b)-f(a)b-a

Q: 3. Find the average rate of change of the function f(x) = sin x, [0, t/6] over the given interval.…

A: The given function is  f(x)=sin x

Q: Find the average rate of change of f from 0 to 9. f(x)%3D tan (3x)

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Q: Find the relative extrema of f(x) = (x − 1) cosh x − sinh x.

A: Maxima and minima: f(x)=(x-1)coshx-sinhx f'(x)=(x-1)sinhx+coshx-coshx f'(x)=(x-1)sinhx…

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

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