Differentiate the function using the three step rule. Show your solution. f(x)=(x)/(√(x-4))

Q: Use the chain rule to find the derivative of  f(x)= 3(3x^10-6x^9)^17 You do not need to expand out…

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Q: Use the First Derivative Test to find any relative extrema of the function. (a) g(x) = 2x³ – 18x

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Q: Find the second derivative of the function. f(x) = (3x5 + 6)6

A: topic - double 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: Find the points of inflection given the function: Given the function f(x) = 2x³+ 3x²-12x-9 Where…

A: For the inflection point, second derivative is equal to zero.

Q: Use the chain rule to find the derivative of 13 f(x) = 3(6x* – 5a³)* You do not need to expand out…

A: Given that:f(x)=36x4-5x313To find f'(x)

Q: Determine critical points of the function f(x)=∣∣x2−4x+3∣∣.

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Q: Use the chain rule to find the derivative of f(x) = 4(8z³ – 32")² You do not need to expand out your…

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Q: Question 2

A: f'(x)= 64(54x5 -27x2 ) (9x6-9x3)16

Q: Find the relative extrema of the functions f(x)=-4x2-32x-62. Identify any maximum or minimum by…

A: Given function is Differentiating f (x) with respect to x, we get Now, we will find critical…

Q: Investigate for maxima and minima the function $(x)=[{2(--1)(t–2) +(»-1°(r-2)"}at |

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Q: Find the third derivative of the function f(x)=2x5-7x4+4x2-8x+11.

A: on doing diffrentiation with respect to x we will get

Q: For the function f (x) = 2x° – 3x2 – 12x, use the First Derivative Test to find the location of any…

A: The given function is- fx=2x3-3x2-12x To find the critical points of a function- dfdx=0…

Q: Use the Second Derivative Test to find all relative extrema of the function f(x) = 2x - 6x +7.

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Q: The revenue function for a oneproduct firm is R(x) = 200 - 1600/(x + 8) - x. Find the value of x…

A: Let a = 1600, so a' = 0 Let b = x + 8, so b' = 1 Let c = a/b, so we use the Quotient Rule: c' = (a'b…

Q: Find the x-coordinates of all local maxima using the second derivative test. g(x) = 2° – 3x7 +2

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Q: Use the chain rule to find the derivative of 16 f(x) = 3(8r" - 5z ) * You do not need to expand out…

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Q: Use the second derivative test to find the local extrema for the function. y = 3x5- 25x3 + 60x + 20

A: We can use the application  derivative in order solve the given problem.

Q: 1. Find the intercepts of the function. f(x)-x* +2 а.

A: Given data÷

Q: Find the derivative of the funchion f(x)=9x-5

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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 point at which the line f(x) = - x – 2 intersects the line g(x) 3x + 6 %3D

A: f(x) = g(x) Thus, -x-2 = 3x + 6   Separate variables to LHS and constants to RHS -x-3x = 6 + 2 -4x =…

Q: Find the inflection point(s) of the function f(x) 16x + 36x + 17x + 5. Show = 2r1 the work.

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: Find derivative of f(x)=(2x2+5)4

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Q: Find the point on the graph of the function that is closest to the given point. f(x) = Vx - 4, (15,…

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Q: Given f(x) = –3x² – x + 15, find f' (-3) using the definition of a derivative. Provide your answer…

A: f(x) = -3x2 -x +15 find f-1(-3)

Q: Find the second derivative of the function. f(x)= [3x3+7]7

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Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…

Q: Find the derivative of the function. f(x)=6x3 − 7x2 + 2/x3 − 3

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Q: Find the anti-derivative F(x) of the function f(x) = 2x - 7 with F(2)=55- %3D

A: We have to find the anti derivative of the given function following the given condition. anti…

Q: Find the local minimum and local maximum values of the function g(x) = 6x2− 4x3 using both the First…

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Q: dont understand the fourth and fifth row of equation of gh(x) and why the function is invalid?

A: Solution

Q: Find the relative extrema of the function and classify each as a maximum or minimum using the First…

A: Answer

Q: Find the relative extrema of the functions f(x)=-4x2-32x-62 Identify any maximim or minimum by using…

A: To find relative extremas first we need to find critical points. These are the points where first…

Q: (B) Use the first derivative test to find the maxima and minima for f(x) = 3. 5z2 + 6x +9. 2.

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Q: Find the slope of the secant line between x=−3 and x=4 on the graph of the function f(x)=3x2−x+2.

A: we will find slope of secant line by two point slope formula

Q: Find the relative extrema of the function and classify each as a maximum or minimum. (Use either the…

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Q: Find the slope of the secant line between x=3 and x=5 on the graph of the function f(x)=−2x^2+2x+5.

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Q: Find the derivative of the function.

A: The given function is gx=3x2-22x+3-2.

Q: Using the second derivative criterion, find the graphs of the functions b) F(x) = x³/3 - 9x + 3

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Q: 6. Find the local maximum and minimum values of f (x) = 9 + 9x² – 6x³ using both the First and/or…

A: In this question we have to find local maximum and minimum values of the function.

Q: Rewrite the function g(x) = ((x^2)-1)/((x^2)+2) so that you can solve for the derivative using the…

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Q: find the critical points of the function f(x)=5x3-75x

A: fx=5x3-75x Differentiating with respect to x, we get f'x=53x2-751=15x2-75

Q: Find the derivative of the function. F(x) = (7x6 + 8x³)4 %3D

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Q: Use the second derivative test to find the extreme values of the function f(x) = x³ – 3x? – 24x . -

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Q: Q3\ Find the second derivative of the funetion F(x)= 3x + 2x - 6x2 -4

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