Simplify the difference quotient f(x)−f(a)/x−a for the given function.   f(x)=2-6x-x^2

Q: f(x) =x°8 – 2x

A: Given, f(x)=x58-2x

Q: find the difference quotient of f(x)= x^2- x + 1

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Q: Find the range of the quadratic function F(x)= 3x^2+6x Use interval notation

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Q: Sketch the graph of:

A: To sketch a graph follow the steps given below. 1) Calculate the x- intercept by taking y=0. 2)…

Q: Find f'(a). (x) = 4x2 - 5x + 3 f'(a) - 0

A: Given ; fx = 4x2 - 5x + 3

Q: 1. f(x) = x3- 3x2 -9x-5

A: NOTE- Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: The graph of f(x) = 2x° + 15x² – 84x + 18 has two horizontal tangents. What is the negative value of…

A: Here, f(x)=2x3+15x2-84x+18

Q: f(x) = x + 4x + 3 for function (f')-'(8) =?

A: The given function is: f(x)=x2+4x+3 Therefore the derivative of this function is: f'(x)=2x+4

Q: If f(x) = 3x + 2, find the value of f(x + 6). Show Your Work

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

Q: How is the graph of f (x) = x3 − 12x2 + 36x − 16 related to the derivative f'(x) = 3x2 − 24x + 36?

A: We have been given the equations f (x) = x3 − 12x2 + 36x − 16 and the equation of the derivative…

Q: Find (f- g)(1) when f (x)= -3x2 + 4 and g (x)= a- 4.

A: Given :

Q: Find the extreme values of f(x) = 5 - 2r2, IS1 lx+ 2, x> 1.

A: Given function is defined in two intervals  So firstly we will discuss  for  x≤1 f(x)=5-2x2 we have…

Q: Find the point of inflection and concave of the graph of the function. (If an answer does not exist,…

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Q: Find the range of the quadratic function f(x)= -x^2+4x-6 interval notation

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Q: 2 f(x) = √2x + x².

A:

Q: Consider the function f(x) = 3x° + 2x – 1 and the equation f(x) = 0.

A: Given :-  Consider the function f  x = 3x5 + 2x -1 and the equation f  x  =0.

Q: Find the slope of f(x) = -3x2 – 6x at x = 1

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Q: Find the domain of f(x). 2x + 2 f (x) = x2 + 5x – 6 -

A: follow next step

Q: Find the points of inflection of f (x) = x5/3.

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Q: If f(x) = 2−2x, what is f(−4)?

A: The explanation of the solution is :

Q: Differentiate the function. f(x) (9x2 15x)e* = f'(x)

A: First simplify the given function as follows.

Q: Find (f-1)'(a). f(x)=5x3+4x2+5x+2, a=2

A:

Q: Find f"(x). 7 f(x) = 3x - 15x - f'(x) =

A: Given: fx=3x2-15x-7x4

Q: Solve f(-2) for f(x) = -5x-4 %3D f(-2) = [?]

A: Given f(x)=-5x-4 To find f(-2) Substitute -2 for x

Q: If f(x) = 6 + 7x – 2x?, find f'(2). -

A:

Q: If f(x) = 3x + 5x2 – x + 6, find f(0) and f(-2).

A: We have given fx=3x3+5x2-x+6. We have  to find f0 and f-2

Q: Find the value of f(x)=-16x3+18x2-x+2 at x= -2

A: Given: fx=-16x3+18x2-x+2 To Find:  The value of fx at x=-2

Q: Find the domain of the function f(x)=17x+3f(x)=17x+3. What is the only value of x not in the…

A: the function given to us is  f(x) = 17x + 3

Q: Find the inflection points of f(x) =x* +x° – 18x² +6. |

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Q: Identify the domain and range: x – 2 1. f(x) = x2 – 5x + 6 -

A: Given,         fx=x-2x2-5x+6

Q: How many points of inflection does the function f(x)=x7-x2 have?

A: We have to find number of inflection point for the function: fx=x7-x2 We know that inflection points…

Q: Find (f-1)'(a). f(x) = 4x3 + 3x² + 5x + 2, a = 2 (f-1)'(a) =

A:

Q: If f (x) = 3x + 7, find: %3D f(-2) = [ ? ]

A: Given,     f( x ) = 3x + 7

Q: If f(x) = 5 + 6x – 2x?, find f'(3).

A:

Q: The graph of f(x) = 2x + 6x2 – 90x + 21 has two horizontal tangents. What is the negative value of x…

A: Given that the graph of f(x)=2x3+6x2-90x+21-(i) has two horizontaltangents.Our Aim is to tell the…

Q: Solve f(-4) for f(x) = -4x+ 9 f(-4) = [ ? ]

A: f(x)=-4x+9

Q: Find the points of inflection of the function f(x)=2x3+6x2−5x+1.

A: Inflection points of a function are the points where its second derivative is zero. Now…

Q: How many points of inflection does the function f(x)=x8-x2 have?

A:

Q: Find the point(s) of inflection of the function:  f(x) = 3x5-10x4+7

A: Answer and explanation is given below..

Q: Find f. f'(x)  = 5x4 - 3x2   + 4    , f(-1)  =2

A: we have to find the value of 'f' f'(x)  = 5x4  -3x2   + 4    , f(-1)  =2

Q: Find (f-1)(a). f(x) = 5x3 + 4x² + 6x + 6, a = 6 (F-1)'(a) =

A: We have to find out

Q: If f (x) = x² – 2x, find: %3D f(-4) = [ ? ]

A: f(x)=x2-2x

Q: Find the inflection points of the function f(x)=x4−6x2.

A:

Q: Differentiate the equation. F(x)=x^4+3x^3+2x

A: We need to evaluate the derivative of the following function F(x) = x4 +3x3+2x Formula Used : ddxxn…

Q: Find the stationary points and stationary values of the function f (x)=2x'+x² - 20x +5.

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Q: f(x) = x2 + 4x – 5, x < -2 -

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Q: find difference quotient f(x)= 3x^2-x+1

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Q: If f'(x)=2x5-8x3+10cosx then state a possibility for the equation of f(x).

A: