Question 22 Given the function f(x) = (x² – 4)(x² + 4), the number of horizontal tangents of f is ANSWER: Blank 1 Blank 1 Add your answer

Q: calculate following values:   f(-2) =  f(1) =  f(2) =

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Q: f(x)+10. Find an equation of the tangent line to F at x=1.

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Q: Question 1 ( Use the First Derivative Test to find the local maximum and minimum values of the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Question 1 For the function f(x) = 3. 4", calculate the following function values. Give your answers…

A: We have to find function value

Q: Question 12 For the following function , find the equation of f-(x) and hence show that f({=}) = f…

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Q: Consider the following. f(x) 3 = -2x + 2x + 2; Find f'(x). f'(x) = -3x + 2 Find f'(-1). f'(-1) = 5…

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Q: Consider the function f(x) = 2x2+1. Find the equation of the tangent to the graph of f(x) at x = 2.…

A: Not sure why we need to calculate f inverse of 2. We do need to calculate the value of the…

Q: Question 3 Given F(x) = VVx – 1, find functions f, g,h such that F = f °go h.

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Q: Question 15 Given the function f(x) =4x- 39x2+90x +2 which of the following describes its absolute…

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Q: Question 2 Given the function f(x) 6 + 3x, calculate the following values: f(a) = f(a + h) = f(a +…

A: The objective is to calculate the values .

Q: Question 2 Consider the Function f (x) = ||x – 3| – 2| What is one of the roots of this function?

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Q: Question 8 Suppose f (x) = In(2x3- 5x), what is the derivative of f with respect to x? A (x)= 2x3-…

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Q: Question 16: Determine if the function 1 f(x) = x* + x² + is even, odd, or neither. Show work.

A: The given function is,

Q: Question (3): Determine the absolute extrema of the function f(x) = x² + 2x - 4 in the interval…

A: Given :f(x)=x2+2x-4   [-1, 2]

Q: Question 1) Find the absolute maximum and minimum of the function f f (x, y) = yx² where - 2<x< 2 -…

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Q: Sketch a graph of the function f(x) = - 2 sin(a)-1

A: Given: fx=-2sinπ2x-1

Q: QUESTION 2 Find the range of the function f(x) = x² + 12. %3D ys 12 Oy2 12 X 20 y 0

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Q: Question 12 Find the local extreme values of the function f (x, y) = x² + y² – xy 8 -8 O 4

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Q: Question 1 Use the First Derivative Test to find the local maximum and minimum values of the…

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Q: Find the first and second derivative of the function. Check to see that your answers are reasonable…

A: find out the first and second derivative.

Q: QUESTION 7 Consider a function f: R2 R, where f(xy) = x2 +y3. (a) Determine f(1,1) from definition.…

A: solve the following

Q: Find an equation of the tangent line to the graph of f at the point  (2, f(2)).   f(x) = 4(7x − 1)4

A: Given  f(x) = 4(7x − 1)4

Q: Question#7: Sketch the graph of the following functions without calculating its points. Explain your…

A: Sketching: a) f(x)=x2-1 :                                             Hence, from the graph we can…

Q: Question 22 For the function f(x), find the simplified form of the difference quotient, f(x + h) –…

A: Consider the following function: fx=x3-3x Consider the following formula of difference quotient:…

Q: Question 5 For the pair of functions, find the indicated composition. f(x) = 4x + 5x + 6, g(x) = 5x…

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Q: • Question 5 Given the function ( 4x -6 4x - 12 0 f(1) = Calculate the following values: f(- 1) =…

A: our objective is to find f(-1) , f(0), f(2).

Q: • Question 14 Given the function f(x) = 5 + 7x², calculate the following %3D f(a) = f(a + h) = f(a +…

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Q: Question 6 Given the function f(x) = - 5 + 3x², calculate the following values: %3D f(a) = f(a + h)…

A: For f(a) ,we put x=a in f(x)  For f(a+h), we put x=a+h in f(x)

Q: Consider the following function. f(x) = x + 4x – 2, (1, 3) (a) Find an equation of the tangent line…

A: Given function is fx=x2+4x-2 and point is (1,3). Differentiating the given function with respect to…

Q: Question 11 Find f(x) if f(x)=x 5 17 17 5 f-(x)=x (17

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Q: 1. Sketch the graph of the function 4x f(x) = x E (-00, 00) 1+4x² Be sure to calculate the local…

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Q: O For what value of x does the function f (x) = 4x2 – x +1 have a horizontal tangent?

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Q: QUESTION 1 A quadratic function f(x) = x³ + 3 x2 + 4 x + 3 has an inflectional tangent y = 2 x + 2…

A: Given : f(x) = x³ + 3x² - 4x + 3

Q: Question 2 2z¹y Consider the function f(x, y) = y² Find the domain of f and provide a sketch.

A: Given- fx,y=2x4yx8-9y2 The objective is to find the domain and to sketch the  given function. Domain…

Q: Determine an equation for the line tangent to the graph of the given function at the indicated point…

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Q: Question 4 Consider :(-x, 2] → R, where f(x)=(x– 2)² +1. a. Define the function " x = 1,x = 5-V5 „*…

A: Since you have posted the different questions of parts. I am answering the first one. Please post…

Q: Question 25 Use the slopes of tangents to determine whether the function f(x) = -6x² + 36x is…

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Q: Question No 1: Using the quotient rule to differentiate the x3+1 following function y = Vx2+1

A: As per our company guidelines, we are supposed to answer only the first question. Kindly repost…

Q: Question 5. Given that f(e) = 4x +1 and g(x) = 2? – 5 find the composite function g(f(x)). Enter…

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Q: QUESTION 5 2 The absolute minimum of f(x)= 3 x3-2x 0n [-1,8] is y= OA OB5 OC OD.

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Q: Question 32- of 33 Step 1 of 1 Given the following function, what is u' (x)? Treat F. Q, and W as…

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Q: The graph f(x) has horizontal tangents when x = 3 f'(x) 2+ 2 -1 0

A: Horizontal tangents have slope = 0. ie slope of tangent = f'(x)

Q: Question 2 Given the composite function f (g(k(t)) = 40 e1+20t Identify f(t), g(t) and k(t), given…

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Q: Question 3. Find the absolute maximum and absolute minimum of the function f(x) = 3.x2/3 – x on the…

A: To find the absolute maxima and absolute minima of the following function  f(x) = 3x2/3 - x  in…

Q: Question 6 Use the first principle to determine f'(x) of the following functions: 6.1 f(x) = x². 6.2…

A: We know that ddxxn=nxn-1 therefore  6.1 ddxx2=2x 6.2 ddx(x2-4x+7)=ddxx2-4ddxx+ddx7=2x-4

Q: Question 6 Determine the domain of the function. f(x) = x3 %3D All real numbers O No solution Ox<0…

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Q: Find the slope of the tangent line to its inverse function f^-1 at the indicated point P, and find…

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Q: Question 7 Find all points of discontinuity of the function: f (z)= 324 (A) -2,-2i (C) -2+2i z4-16…

A: The function is given by fz = 3z2+4z4-16 To evaluate : The point of discontinuity.

Q: (6) _If f'(a)=0, then the tangent of the function f at x=a is a horizontal line.

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Question 1: Differentiate the functions. a) f(x) = 2 – 5cosx +x4 + 3* b) f(«) = +

A: I am attaching image so that you understand each and every step.