nd the points where the function f(x) = (x² – 1)³ is decreasing, -

Q: A soccer ball manufacturer is planning to expand its workforce. It estimates that the number of…

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Q: Find the interval on which the graph of f(x)=ln(x^2+1) is concave upward ?

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Q: Find the differential of the function y=(3-x8)1/2

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Q: (d) Find the interval(s) where f(x) is decreasing.

A: There are mainly two ways roughly by which a function's behavior can be obtained and first method is…

Q: d) Find the value of the constants ´ a ' and “ b ` that makes the function continuous at x=3 ; x3

A: f(x) is continuous at x = k if

Q: Find the linearization of the function f(x) = x^8 at x = 1

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Q: The second derivative , for the function 7y+ 13z 3a2 is O y = 9

A: Given query is to find the second derivative of the function.

Q: Find a function f such that f (x) = 2x3 and the line 54x + y = 0 is tangent to the graph of f. f(x)…

A: Key point used: The slope m, of the tangent to f(x) at point h,k, is equal to f'x=h. Given:Eq of…

Q: Show that f(x) = ln xn /x is a decreasing function for x > e and n > 0.

A: Given function is, But, Hence,

Q: 3) Let f (x) = e=x² Where is y'> 0? What does this tell you about the original function?

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Q: 2. Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x3 + 11.

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Q: The function f(x)=x2 is decreasing on the interval...................... .

A: Given,f(x)=x2 f(x)=x2 On differentiating both sides w.r.t x we get: f'(x)=ddx(x2)⇒f'(x)=2x Now, we…

Q: 9.03 6. Vse the linear anproximation of the function (x)= V9-x at a = 0 to approximate the number

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Q: 4. Find the range of the function F(x)=√36-t² dt O [0, 36π] O [0, 18π] O [-6, 6] O [-6, 0]

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Q: When is f (t) increasing at the greatest rate?

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Q: d) Find the value of the constants ' a’ and b ’ that makes the function continuous at x= 3 ах + b ;…

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Q: Find the linearization L(x)  of the function f(x)=x^3/4  at x=16

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Q: 1. Come up with the equation of any function f (x, y) satisfying fx = x + y and fy = x + 3y³

A: The objective is to find the function f(x,y) satisfying fx=x+y and fy=x+3y3 Now take, fx=x+y Now…

Q: The function f(x,y) = 3x2 - 2xy + y2 + 8y has one stationary point. What is the location and…

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Q: 1- at 9=0

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Q: Find a function f such that f'(x) = 2x³ and the line 54x + y = 0 is tangent to the graph of f. f(x)…

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Q: What is the derivative of the function f(x)= In(3x2) ? а. f'(x)= 2 b. None of these. с. 1 f'(x)= %3D…

A: We have given that  The function is f(x) = ln(3x2)

Q: Find the critical point of the function f(x, y) = – 7 2x + 5x2 - 8y – 5y? |

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Q: Use the second derivative to determine f"(4) for the function f (æ) = x² In (x) 2ln(4) +2 3ln(4) +3…

A: Derivative of the function

Q: 4. Find the point on the graph of f(x) 5x2 + 20x – 3 where the tan gent line is horizontal. (a)…

A: We have to solve integration

Q: Find the average rate of change of the function f(x) = - 2x – 7x + 8, over the interval [-1,1]. -…

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Q: A major car company analyzes its revenue, Ríz), and costs Cx), in millions of dollars over a…

A: The revenue function and the cost function is given as:…

Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

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Q: Consider the function f(x,y) - x-44x- 4y and determine if, at the point (4,0) if the function is a…

A: Note: Since you asked multiple questions I solved one. For solution of other problem please post the…

Q: Find the values of a and b so that f will be differentiable at x = 3.

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Q: 2 If f(x) = 2x- kr has a relative maximum at r = -2, then the value of k is %3D

A: Note :-  If f(x) has relative maximum at x=a then f'(a) =0.

Q: Suppose g(-2)=3 and g'(-2)=-4. Let f(x) = x3 + g(x). Find the equation of the line tangent to y =…

A: Given,     f(x)=x3+g(x)

Q: Use the definition of the derivative to find: f(x)= 1/x^3 g(z)= z^4 - 8z^2

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

Q: If f (x) - 2x - kex has a relative maximum at x = -2, then the value of his

A: Given  f(x)=2x-k.exNote: As there is no h in the equation it is assumed that we need to find…

Q: #3 Find the instantaneous rate of change for the function f(x) = V3 – x at x = -6.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: C. Apply the chain rule to find the derivative 1. y = (8 - 3x )3 3. y = (1-x)7 2. y = V2x + 1

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Q: 2. Determine the zeroes of 2 x² = x f(x) instantaneous zeroes using a table of values. — 3x 4 and…

A: To find the zeroes of the polynomial.

Q: nd the derivative of the functionf(x) = v 5x+6 using the limiting proces A) S'x)= - 2 5x+6 Sx) = 2…

A: We are asked to find the derivatives of the function using limiting process.

Q: T* dx from a=-1 to b-1 is an even function.

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Q: 4. a) Find the value of x where the function f(x) = (x – 4)3 is not differentiable.

A: According to power rule of differentiation , .

Q: Find the approximate value of the function f(x)=√5x−1 at x=1,99.

A: Given Here a = 2. The formula for approximate value is Substitute a = 2 in given function to get…

Q: Is f (x) = 4e-0.3xan increasing or a decreasingfunction?

A: Given: fx=4e-0.3x To Determine: Whether fx is increasing or decreasing function. Concept: a. If…

Q: Find the first derivative f(t)-4cos (t)-10tan(t) -1

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Q: Find the first and second derivatives of the function. 14. f(x)= x to the 7/2+x to the 5/3-x to the…

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Q: Find the critical numbers of the function. s(t) = 3t* + 201 - 182

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Q: Find the derivative of the function. g(x) = [*- 1 -dt -5 2+4 10 а. 841 b. 2x (x²+ 4)² 1 С. x²+4

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Q: Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f. f(x)…

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Q: Find the line tangent to the function at the indicated point: f(x) = v8x² – 4x ;x = 1 ОУ-12х-10 o…

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: 1. What is the average rate of change of the function f(x) = x² - 4x + 7 on the interval 1 ≤ x ≤ 3?

A: average rate fo change in an interval (a,b) =f(b)-f(a)b-a