If f(x) = 24x + 2, use the limit definition of the derivative to find the instantaneous rate of change of f(x) at x =

Q: Find the derivative of the function.…

A: The given function is hx=x2arctan8x

Q: 2h lim h→0 h(/2x+2h+/2x)

A: Given, limh→0 2hh2x+2h+2x The definition of derivative is given by fx=limh→0 fx+h-fxh

Q: Find the derivative of f(x) = x2 using the limit definition of derivative.

A: We have given function  f(x)= x2 So using definition of derivative  f'(x) = limh→0fx+h-fxh So,…

Q: FIND THE DERIVATIVE BY THE LIMIT PROČESS OFF(x) = Vx+2.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is the derivative of the function f(x)=1/x+1 at x=1?

A: To find out the derivative of the function at x=1

Q: Find the derivative of the function by the limit process.

A: Consider the given function fx=1x2   Derivative of any function fx using limit process is…

Q: If the instantaneous rate of change of ƒ(x) with respect to x is positive when x = 1, is ƒ…

A:

Q: Find the derivative of f (x) = x at x = -4 algebraically. f' (-4) =

A: f(x)=x3 Find f'(-4)

Q: By the chain rule, the derivative of arctan (4x^5) is:

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(z) = 7x +3x…

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change o ƒ(x) = 5x² +…

A: We have to find rate of change

Q: If the sign of the first derivative function is positive, the main function f(x) is decreasing.

A: We have to tell If the sign of the first derivative function is positive , the main function f(x) is…

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x)=7x2+5x+5…

A: Here, f(x) = 7x2 + 5x + 5 The limit definition of the derivative is Thus, we need to find f(x+h),…

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 6x +…

A: Formula use Instataneous rate of change og f w.r.t x at a i f'(a) = lim f(a+n)-f(a) / n…

Q: Suppose the derivative of the function y = f(x) is y' = (x- 2) (x + 6). At what points, if any, does…

A: see 2nd step

Q: 2. Find the first derivative given that f(x)=x√√x + 1 x²√x

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: Use the limit definition of the derivative to find the instantaneous rate of change of f(x)=2x2+5x+3…

A: we have to find the instantaneous rate of change of f(x)=2x2+5x+3 at x=3 by  limit definition of the…

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(z) = 7x² +…

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x)=6x2+2x+3…

A: The limit definition of derivative is given by: We know that f(x) = 6x^2 + 2x + 3  Now we will find…

Q: Find the derivative of the function. h(x) = x² arctan(5x) h'(x) =

A: h(x)=x2tan-1(x)

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: Use the limit definition of the derivative to find the derivative of f(x)=x^2+x

A: Please refer the attached image for complete solution.

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 2x² +…

A: From the limit definition the instantaneous rate of change at x=a is given by: f'a=limh→0fa+h-fah…

Q: Find the derivative by the limit process. f(x) = 10 – x2 %3D

A: We know that the derivative of a function fx is given by:f'x=limh→0fx+h-fxh

Q: find the derivative of f (x) at the designated value of x. f (x) = 1/x at x = 2/3

A: Given: f(x)=1x To find the derivative at x=23

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) 3x + 5x…

A:

Q: find the derivative of f (x) at the designated value of x. f (x) = x5 at x = 3/2

A: Given function is: fx=x5 We have to find the derivative of f(x) at x=32. Then we get,…

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 2x² +…

A: We will find the instantaneous rate of change of f(x) at x=4 as following.

Q: Approximate the derivative of f(x) = x² + 4x + 5 at x = 3 using the forward, backward, and central…

A: f(x) = x2 + 4x + 5 h = Δx = 2 xi = 3         f(xi) = 26 xi+1 = 5          f(xi+1) = 50 xi-1 = 1…

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

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 4x? +…

A:

Q: The derivative f'(a) represents the instantaneous rate of change of y = f (x) with respect to x when…

A: Given that we need to check  behaviour of  the statement " The derivative f'(a) represents the…

Q: Find the derivative of the function

A: We have to find the derivatives of the function: y=x tan-12x-14ln1+4x2 If two functions are in…

Q: Find the derivative of the following using the three-step rule 2. y=Va² +x

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 2x +5x…

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = V7x +3…

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of…

A: The limit definition of derivative is as shown below:

Q: Calculate the derivative of f1 (x) = √1−2x by using the definition of the derivative as the limit of…

A:

Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) 4x2 + 4x…

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: 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

Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

A: The given Revenue function R(x)=23x3-40x2-450x.  Task: To maximize this revenue function.

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

A:

Q: If y=x+ 4÷x+1 use the first derivative test to find where relative extrema occur.

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change c f(x) = 4x + 7x…

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: Find the second derivative of y=x-1 at x=2

A: