Use Second Derivative Test to find the location of all local extrema for f(x) = 2x³ + 15x² + 24x – 3

Q: Apply the First Derivative Test to identify all relative extrema. f(x) = -7x³ + 21x +3

A: fx=-7x3+21x+3 Differentiating with respect to x, we get f'x=-73x2+211+0⇒f'x=-21x2+21 Now to find…

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. f(x) =…

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Q: List the intervals of concavity for f(x) if it has a second derivative of f'(x) = (x +2)(8x - 25).…

A: The given second-order derivative is: f''(x)=(x+2)(8x-25) So, f is concave upward if:…

Q: Use the third derivative test to find the inflection point(s) (if exis 8 function f (x) = x5 - x³ +…

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Q: 1. Using the First Derivative Test, explain why the function f(x) =-2x has no extrema on any open…

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Q: USE THE SECOND DERIVATIVE TEST To FIND LOCAL EXTREMA OF THE FUNCTION. F(x)= -x³ +12x² -5ON R.

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Q: Find the relative extrema of f(x) = 8+ 126x – 7x2 using both first and second derivative tests. f…

A: If second derivative is less than zero then there is relative maxima.

Q: Use the first derivative test to locate all local extrema for 3 f (x) = -x'+ = -x' +- x +18x.

A: Explanation of the answer is as follows

Q: find all relative extrema of thefunction. Use the Second Derivative Test whereapplicable.…

A: Given : f(x)=x+4x

Q: Using the definition of derivative, show that f'(2) = for f (x) = Vx+ 2.

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Q: Use the Second Derivative Test to find all relative extrema. h(t) = -x + 6x² - 4

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Q: Use derivative rules to find f'(x). 4. f(x) = (2x² – 3)(3x – 1) -

A: f(x) = (2x2-3) (3x-1)derivative rulef(x).9(x)' = f'(x)9(x)+f(x)g'(x)or (uv)' = u'v+uv'

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. f(x) =…

A: fx=x4-4x3+2 Differentiating with respect to x, we get f/x=4x3-43x2+0      Because, dxndx=nxn-1 &…

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. f(x) =…

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Q: Find the x value(s) of any relative extrema. Use the Second Derivative Test to verify. f(x) = -x3 +…

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Q: Find the local maximum and minimum values of f using the Second Derivative Test. If the Second…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable.

A: Consider the function, fx=9x-1x+5 To calculate the critical points of the given function, For the…

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. f(x) =…

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Q: Use the second derivative test to find the extre #1) f(x) = x³ + 2x² - 4x-8 %3D

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable.

A: The second Derivative test for relative extrema of a function f(x) can be stated as follows: Suppose…

Q: Using the First Derivative Test, what are the local extrema for the function s(x)=−23x3+10x2−48x−1?

A: Given Sx=-23x2+10x2-48x-1

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable.

A: The above problem belongs to the calculus part in which the topic is maxima and minima, the given…

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: Determine the relative extrema of the function f (x) = = x' 3x² 24x + 32 using the second derivative…

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Q: Find the critical points and apply the Second Derivative Test (or state that it fails): f (x) = x5 −…

A: f(x)=x5-x3

Q: Use product rule to find the derivative of f(x) = (x2 + 5cosx)(x³ – 2x + tanx). -

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Q: find the derivative of f(x) = (x² +4)(3x³-2x) at the point x =- 3[use product rule]

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Q: Apply the second derivative test to find all relative extrema. (b) f(x) = -x + 4x³ +8x²

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Q: Use Second Derivative Test to find the location of all local extrema for f(x)=2x³+21x²+36x-1

A: Local extrema.

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable.

A: We have to find the relative extrema of the following function- f(x) = 2x + 18x

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable f(x) = x4…

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Q: Find all relative extrema of the function 2x^4 - 8x^3 + 6. Use the Second Derivative Test where…

A: To determine the all relative extrema of the function.

Q: Find all relative extrema using the second derivative test. 1. f(x) = x^2(6 − x)^3 2. g(x) = x^3…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. f(x) =…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. f(x) =…

A: Givenfx=9x−1x+5

Q: Use the definition of derivative to find f(x) = 2-x+2x^2

A: Given,          fx=2-x+2x2

Q: Find the derivative of f(x)  =(a + 2x2) (x - x2) in twoways: by using the Product Rule and by…

A: We have given function  fx=a+2x2x-x2 At first we  will use product rule:…

Q: Use the second derivative test. Show Graph. Find all relative extrema of ƒ (x) = xª – 4x³ + 1

A: Given function is  fx=x4−4x3+1

Q: Use the second derivative test to find the local extreme values of y= 2x7-x+12

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Q: Test f(x) = (x3/3) +2x2-5x+1 for relative extrema, using the second-derivative test where possible.

A: For a given function,f(x), at relative extrema x=a, f'(a)=0.The second derivative test is applied to…

Q: Find all relative extrema of the function f(x) = x² - 4x² + 2 by using the Second Derivative Test…

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Q: Use Second Derivative Test to find the location of all local extrema for f(x) = 2x3+21x²+ 36x-1

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Q: Use the first derivative test to identify all relative extrema  f(x)= 1/2x-sinx on the interval…

A: Maxima or minima: If f(x) is any function: 1) Evaluate f'(x)=0 for critical point. 2) Evaluate…

Q: Apply the first derivative test to indentify all relative extrema. f(x) = ¹²-2x+1

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Q: Use derivative rules to find f'(x). 4. f(x) = (2x² - 3)(3x – 1) %3D

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Q: Find the relative extrema of f(x) = 4+ 40x – 5x? using both first and second derivative tests. f (x)…

A: Explained below

Q: Use the Second Derivative Test to find all local extrema, if the test applies. Otherwise, use the…

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Q: Use product rule to find the derivative of f (x) = (x² + 5cosaæ)(x – 2x + tanx).

A: We can find the derivative of the given function using the product rule as below

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) 7x² + 2x…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.