Simplify the difference quotient ƒ1x2- ƒ1a2/  x - a for the following functions. ƒ1x2= x4

Q: When the function f(x) is divided by x + 2, the quotient is x² – x -8 and the remainder is -3. Find…

A: When a function is divided by (x+2), the quotient and the reminder is given we have to find the…

Q: If f(x) = 21, find f'(0).

A: Differentiation: - Differentiation is that the pace at that one amount changes in relevance another.…

Q: For the function f(x) = „"9, find x-9 f (x).

A:

Q: Find a simplified form of the difference quotient for the function. f(x) = /x- 8

A: Difference quotient for function f(x)=x-8

Q: Determine where, if anywhere, the function f (x) = x° + 9 – 48x + 2 is not changing.

A: The function is a rule that associates or fixes a number to the particular point x. If , then the…

Q: Find the difference quotient of each function. f(x) = 2x2 - 3x

A: Difference quotient= f(x+h)-f(x)h

Q: Simplify the difference quotient | f(x) = L * + h) –f(x) h for the function f (x) = -4x² + 8x – 1.

A:

Q: Differentiate the function.  f(x) = 240

A: Given function is

Q: Find f(x) if f' (x) = x5 - 7 divided by x5 , and f(2) =4

A: Given, f'(x)=x5-7 divided by x5and f(2)=4f'(x)=x5-7x5f'(x)=1-7x5—(1)

Q: If f(x)=7-2x+x^3,find f(0)

A:

Q: Write f(x) = 2x 4 - 5x 3 + 12x2 - 3x + 4 as the sum of an even and an odd function

A: Consider the function: fx=2x4-5x3+12x2-3x+4. A function can be written as a sum of odd and even…

Q: When f(x) = 3, x=

A:

Q: find a simplified difference quotient for the function f(x)=-3x^2

A: Consider the function

Q: Calculate the difference quotient of the function f(x)=-4/x-2

A:

Q: Differentiate the function, y = 4x² +5 + In (x + 1)

A: Differentiate the given function using the below formulas. ddxxn=nxn-1  ddxC=0        where C is a…

Q: 17. Find the difference quotient for the function f(x)%=(x²+1) °, then simplify.

A: Given function is:

Q: Simplify the difference quotient f(x) = x2 + 1

A: To determine the difference quotient of given function.

Q: If f(4)=10, how do I write the function for it?

A:

Q: Given f(x) = x3, find the difference quotient f(x + h) – f(x)

A: Given function:

Q: If f(x) = 3(x + 4), find f(2).

A: Given,f(x) = 3x+4)we have to find f(2)

Q: simplify the difference quotient f(x+h)-f(x)/h for the function f(x) = 10/x

A: Given query is to find simplified diffrence and quotient for given function.

Q: If f(x) = 21x + 21, find f'(3).

A: f (x)=21x+21 f'(x) = 21

Q: Write f (x) = [1 – 2x] as a piecewise function.

A: To write the function as a piecewise function.

Q: Sarai was given the function, f(x)=x² - 2x +8. For what x value(s) would f(x)= 20?

A:

Q: Find and simplify the difference quotient of f(x) = x/1+x

A: The given function  f(x)=x1+x f(x+h)=x+h1+x+h The difference quotient = f(x+h)-f(x)h…

Q: Use the simplified form of the difference of a quotient to evaluate when x = 5 and h = 0.01 for the…

A: We need to find f'(x) by using the given formula.

Q: If f(x) = 10, find f'(-1).

A: Given f(x)=10,  to find f'(-1) Formula used Differentiation of a constant value is zero d (constant)…

Q: Simplify the difference quotient x)-fa) for the following function. x-a 3 f(x)x 8X

A: Firstly, we find f(a) by replacing x by a in f(x). < Then substitute the values of f(x) and f(a).…

Q: Find the indicated difference quotient and simplify If f(x) = x3, find [f(x + h) - f(x)]/h.

A: Given: f(x)=x3

Q: Find the difference quotient of each function f(x)=4/x

A: Given function f(x)=4xwe need to find the difference quotient

Q: Evaluate the function f(x)=5000e^0.06 when X=6

A: f(x)= 5000e0.06x

Q: If f(x) = 4, find f'(- 11).

A: The given function is:fx=4To find f'-11

Q: If f(x)= x³, evaluate the difference quotient f(2+h)-f(2)/h

A: on using given formula we get

Q: Differentiate the given function. 7x-2+-

A: Here we apply product rule of differentiation (UV)' = U(V') +(U')V

Q: Find and simply the difference quotient for the function f(x) =2x2 +x -7

A: given function fx=2x2+x-7

Q: For the function f(x)= -5x+10, find the difference quotient, f(x+h)-f(x)/h

A: given function, f(x)=-5x+10we have to find the difference quotient

Q: Given the function f(x) = 2 + 6x, find and simplify the difference quotient. f(x + h) f(2)…

A: Solution :          According to the question, Given that the function f(x) = -2 + 6x^2 .

Q: If f(x) = f'(x) = 4-3x7, find f'(x). Use exact values.

A:

Q: Т2) - та) Simplify the difference quotient for the following function х -а f(x) x3-17x

A: Given function is

Q: Differentiate the function: f(x) = xSECx divided by 4 + x2

A: To differentiate the given function-f(x)=xsec(x)4+x2 Here we have used following formulas-…

Q: Find f(-x) - f(x) for the given function f(x) = x3 + x - 5 .Then simplify the expression.

A: Given fx=x3+x-5 To find f-x-fx

Q: If f(x)= 2x^2 - 4, find f(0)

A: to find:- f(0).

Q: If f(x) = 10, find f'(3).

A:

Q: The function f(x) = 12x gives the number of inches in x feet and g(x) = 3.28x gives the approximate…

A: The function f(x) = 12x gives the number of inches in x feet and g(x) = 3.28x gives the approximate…

Q: Differentiate the function.   f(x)  =240

A: We have to differentiate the function: fx=240 We know that differentiation of any constant is zero.…

Q: If f(x) = 21, find f'(3).

A:

Q: If f(x) = 16, find f'(7).

A: Please refer the attached image for complete solution.

Q: Evaluate the function f(x)=x+4 when x=3

A: To evaluate the function f(x)=x+4 when x=3

Q: Simplify the difference quotient ƒ1x2- ƒ1a2 /  x - a for the following function. ƒ1x2= x2 + x

A: The expression given in the question is a bit unclear, so this is what the question actually looks…

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