Consider the following function. 9(x) = x + 3x2- 8 on [-3, 1] Find the derivative of the function. g(x) - Find any critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) maximum minimum Need Help? Read It1

Q: 1. Find derivative of given function defined as follows. 7-29-22 y = (8x²-3x³) ³

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Q: the derivative of E(q) is-(q*(q^2-1))^-1. what's its global maximum and global minimum. Thank you!

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Q: 3. Suppose the function f has second derivative f"(x) = x2(x – 3)(x+2)*(? – 1). = T- (a) How many…

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Q: Consider the following g(x) = x - 2x - 4 on [0, 9] Find the derivative of the function. = (x), 6…

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Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A: x=0 is near a=0.11

Q: 18 The derivative of the function f(x) = x² + is 18 4x3 + (æ³) 18 O 4x³ - (æ²) 18 4x° + (x) 4x + 18…

A: d/dx(xn)=nxn-1 Given f(x)=x4+18/x  To find the derivative of f(x) differentiate once

Q: 1. Determine the first derivative of the functions below with the rules for deriving the function:…

A: A Given function is y=4x3+32. Use formula ddxxn=nxn−1 Differentiate  y=4x3+32 by using the chain…

Q: Given the function g(x) = 8x³ + 12x² – 48x, find the first derivative, g'(x). g'(x) = (x),6 Notice…

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Q: 1. Find the derivative function for the following using the power rule: a) f(x) = x¹² b) y = 8x³ -…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: c) If f'(x) =3+ 4x and the curve f(x) passes through the point (1, 8) i) Find f(x) ii) Find the…

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Q: Suppose a tour guide has a bus that holds a maximum of 110 people. Assume his profit (in dollars)…

A: Given : Profit function P(n) = n(55-0.5n) - 110 Maximum value of n = 110.   To find : a. How many…

Q: Consider the following function. g(x) = x³ + 3x² – 6 on [-3, 1] %3D Find the derivative of the…

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Q: Given the function g(x) = 8x – 84x? + 240x, find the first derivative, g'(x). = (x),6 Notice that…

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Q: Find the derivative of the given function from the first principle ax2+bx+c

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Q: Consider the following function. g(x) = x3 + 3x2 − 3 on [−3, 1] Find the derivative of the…

A: The given function g(x)=x3+3x2-3 on -3,1

Q: Consider the following function on the given interval. (x) = 17 + 2x - x?, [0, 5) Find the…

A: Given f(x)=17+2x-x2  and the interval [0, 5] differentiating with respect to x, f'(x)=2-2x

Q: 5. Suppose f(3) = -2, g(3) = 5, h(3) = –1, f'(3) = -4, g'(3) = 3, and h'(3) 2. Find the value of the…

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Q: 9. Find the critical points of the following function. Use the Second Derivative test to determine…

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Q: Consider a function f with domain {x|x # 0} and the following derivatives: f'(x) = bx-1 and f"(x) =…

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: The function is fx,y=x2+y2+4x+5. The critical points of the function is the points where fx=0 and…

Q: Consider the following function. g(x) = x2 – 2x - 4 on [0, 6] Find the derivative of the function.…

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: We will do partial fraction and find out local Maxima points.

Q: 3- Show that this function is differentiable for all and find its derivative (2) = f(x+ jy) = x*-…

A: The necessary and sufficient condition for a complex function f(z)=U+iV  (where U,V are the real and…

Q: Q2:A/ Consider the function f(x) = 11x+3 -what are the first and second derivatives? -what are the…

A: We will answer the first three subparts of the first question as per our guideline. Please resubmit…

Q: 3. Use derivatives to find the critical points anc (a) f(x)= x³ – 9x2 + 24.x + 5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the following function. g(x) = 2x2 + 32/x + 12

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

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Q: . Use Euler's method with a step of 0.1 to estimate f(2.5) if f(1)=-2 and the derivative of the…

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Q: Given the function g(x) = 4x° + 30x2 + 48x, find the first derivative, g'(x). gʻ(x) = Notice that…

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Q: Consider the function g(x) =2x³ - 6x+3. The critical values for this function are and since these…

A: We have to find critical points

Q: Let g be a function with derivative given by x2 - 2x - 8 g'(x) = V2x³ +5 - 1<x <5 %3D . At which…

A: Occours

Q: 2. f(x) = x^3 − 27x (a) Use the derivative of the function f(x) to find all critical points. (b)…

A: f(x) = x3 − 27x For critical points, f'(x) = 0 ∴f'(x) = 3x2 - 27 = 0 =&gt;3(x2 - 9) = 0 =&gt; x = ±3…

Q: Consider the following function. p - 2 h(p) = p2 + 7 Find the derivative of the function. h'(p) D…

A: Given hp=p−2p2+7 Use formula  ddxfxgx=gxddxfx−fxddxgxgx2 Differentiate hp=p−2p2+7 with respect to p…

Q: Find the critical points for the following function. Then use the second derivative test to…

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Q: Given the function g(x) = 4x° + 36x + 60x, find the first derivative, g' (x). %3D = (2),6 Notice…

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Q: the derivative of the function. g '(x)       Find any critical numbers of the function. (Enter your…

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Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A: To find a linearization at a suitable chosen integral near a= 0.11 at which the below function and…

Q: The graphs of the derivatives of the functions F, G & H are shown below. Which of the functions have…

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: The given function is f(x,y)=4x2+2xy2-4x+1

Q: Given the function g(x) = 8x° + 12x2 – 480x, find the first derivative, g' (x). g'(x) = Notice that…

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Q: 6. у3 In (x*+3х -1)2 V(5x+2) step1 step2

A: Derivative of function

Q: ose k is the derivative of K, a function with the same domain as k. inction K has one critical point…

A: According to answer policy we can answer one question at a time, therefore I will be answering first…

Q: 3. Use the given graphs of the first and second derivative of a continuous function to answer the…

A: To find:- From given graph A. Set up a number line to represent where f'(x) is positive, zero, and…

Q: (1) Find the derivative of the function f(x) = 2x³ - 12x² +4 and use it to find the critical numbers…

A: Solution is given below:

Q: Find the derivative of the following functions: (a) f(x) = (2x – 8)(x³ + x² + 7x)| (b) ƒ(x)= x3–2x)…

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Q: find a linearization at a suitably chosen integer neara at which the given function and its…

A: The given function is fx=1+x. The derivative of the function is, f'x=1. At point a = 8.1,…

Q: Consider the following function. g(x) = x2 - 2x - 6 on [0, 8] Find the derivative of the function. 9…

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Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: To determine the critical points of the function fx,y, solve the equations ∂f∂x=0 and ∂f∂y=0…

Q: #8

A: Given:The decrease in weight from 487 pounds to 130 pounds in 8 months.