For #6 and # 7, use the second derivative test to determine where the curve is concave upward and/or concave downward. Identify and points of inflection, if they exists #6) f(x) = x* - x³ – 6x2 – 3x + 3 %3D #7) f(x) = Vx

Q: Use the first derivative test to find the location of all local extrema for .3 f(x) = +4x*+7х— 5 3

A: For extreme values we find critical points by putting f'(x)=0

Q: Find the value of the derivative (if it exists) at each indicated extremum

A: Given: The function is  fx=-3xx+1 And the extremum of the function is point -23, 233

Q: Find the derivative of the functionf(x) = Vx – 2. Provide your answer below: f'(x) =O

A: We have to find derivative

Q: Use the chain rule to find the derivative of 12 f(x) = 2(50 - 2x) You do not need to expand out your…

A: By using chain rule to find the derivative of the given function.fx=25x10-2x812

Q: The derivative of f(x) =3 4 is %3D

A: Consider the given function, fx=4x5 The property of derivative is defined as, ddxxn=nxn-1 Convert…

Q: Use the limit definition of the derivative to find the derivative of the function 3x – 7 f(x) = %3D…

A: The function f(x)=3x-75x2+1. We have to find the derivative of the given function using the limit…

Q: The degree of the derivative of f(x) = (3–x)'(x – 12)° is

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Q: What is the derivative of −3cot(x)−sec(x)? Do not include "f′(x)=" in your answer. For example, if…

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Q: 5. Use the definition of derivatives to find f'(2) given that f(x) = 2x² -r+1

A: According to our company guidelines we are supposed to answer only one question since you have asked…

Q: Use the alternative form of the derivative to find the derivative at x=c (If it exists)…

A: Given function is fx=x3+3x2+9. We know that, f'x=limx→cfx-fcx-c Given c=-3 Therefore,…

Q: Find the derivative of f(x) = (2x+1)³(3x - 1)³. Show all your work and factor the result completely

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Q: Find f'(10) directly from the definition of the derivative given f(x) = vx – 1.

A: Given, f(x) =x-1  We have to find f'(10)

Q: F(x) = x+1/7x^2+8x+7

A:

Q: What rule should be used in getting the derivative of a.)  f(x) = x^5 b.) h(x) = 3(x + 4)^3 c.)…

A: a. fx=x5 The rule used to get the derivative of given function is, ddxxn=nxn-1 The derivative is,…

Q: Find the indicated derivative for y=f(x)=9-x^2

A: Answer and explanation is given below...

Q: Use the chain rule to find the derivative of 16 f(x) = 3( – 52° – 9x")" You do not need to expand…

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Q: The derivative of f(x,y)=x^3+y^2 is 3x^2+3y^2. True or False?

A: The given function f(x, y) = x3+y2 Differentiate with respect to x ∂f∂x=3x2 Differentiate with…

Q: 3. f(x) = (2x + 1)3 4. f(x) = V7 + V3x + 1

A:

Q: Use the chain rule to find the derivative of 15 f(x) = 4( – 2a + 10x')" You do not need to expand…

A: We can find the derivative using chain rule as below

Q: Find the derivative of the followin 1 y%3D (x² - 3) (x² + 3x + 3)

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Q: 16. Use the limit definition of the derivative to find the instantaneous rate of change for the…

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Q: Find the derivative with respect to x of f(x) = V5x + 4. f'(x) =

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Q: I need help with finding the derivative.  y=(2x^2   +   1)^2   (x-1)^3

A: Given: y=2x2+12x-13 We know that ddxu.v=vdudx+udvdx…

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: Proceed as shown below

Q: find the derivative of function x^2+4y-10x-16y+5=0 at (7,3)

A: Given:       x2+4y2-10x-16y+5=0        at 7,3    Differentiating on both sides…

Q: Given f(x) = Vx+ 8, find f' (-4) using the definition of a derivative. %3D Provide your answer…

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Q: Find the derivative. 1) f(x)= V7,7x A) 7.7)4/5 B) 7.7)-1/56 ,7) D) 2) y = x/10x-8 15x-8 A) 15x B)…

A: 1) Obtain the derivative of f as shown below: f'x=ddxx7+7x5       =15x7+7x-45ddxx7+7x…

Q: Find the second derivative or f"(x) for f(x) = / 2x + 5. %3D 1 (2x + 5)3/2 (2x + 5)!/2 (2x + 5)3/2…

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Q: f (x) = 5x* f(x) %3D 12x5—4х4

A:

Q: the derivative () of = f(x) = 2

A: Please refer to the image below

Q: B. Use the product and quotient rule to get the derivative of the following 4. Y= 2x-1/ x+2 5. f(x)=…

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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: find the critical points and apply the Second Derivative Test (or state that it fails).…

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Q: Find the derivative of f(x) = -4x 3+4 Provide your answer below: f'(x) = D

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Q: By the first principle (The definition of Derivative) to find the derivative of f(r) V3r + 1. %3D

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: I am given the equation f(x)=(4/x)+3. How would I use the definition of the derivative?

A: According to the question, we have to find the derivative using the defination of the expression…

Q: Q1) The dervative of the function f(x)= |x+2 using the definition of derivative is

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Q: Use the chain rule to find the derivative of 18 f(x) = 2(5æ4 – 2x") You do not need to expand out…

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Q: Use the definition of the derivative to show that the derivative of y = f(x) = 2x² is f'(x) = 4x.…

A: Given that: y=f(x)=2x2

Q: By using the definition of the derivative find to f'(x) 3. 3x

A: our objective is find the derivative

Q: Find the first and second derivative 1. f(x) =x+6x-7x 2. f()=r-7 +2r 3. F(1)=(1+ 7r)

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Q: Find f' (8) from f(x) = V7x – 2 using the definition of a derivative. (Do not include "f'(8) =" in…

A: This question is related to deivative.

Q: Use the chain rule to find the derivative of f(x) = 4( – 5æ" + 3z")" %3D

A:

Q: Given use the definition of the derivative to show that f(x) = 4x + 3x- 1 f' (x) = 8x + 3

A: f(x)=4x2+3x-1 Definition of derivative:…

Q: Find the derivative of the function 4/ f f(x) = V (x – 3) at x = 2. f'(2) =

A: fx=x2-354⇒fx=x2-354 Differentiating with respect to x, we get f'x=ddxx2-354=54x2-354-1·dx2-3dx…

Q: 3 1. 15. f(x) = 4 *+ %3D 4

A: Given,f(x)=14x+34

Q: What is the derivative of f(x) = -3? Do not include "f'(æ) =" in your answer. For example, if you…

A: Given            f(x)=-3

Q: Find the derivative of the function f(r) = 3x² – 12x by the definition of derivatives | f(x +h) -…

A: here option C is true 6x-12

Q: What is the derivative of the attached function for x= -8   -1 -1/2 1 2

A: