Use the second derivative test to find the relative maxima and minima of the given function. f (x) = x4 - 32x²+ 7 O min at (0, 7); max at (4, -249) max at (-4, -249); min at (0, 7); max at (4, -249) max at (0, 7); min at (4, -249) O min at (-4, -249); max at (0, 7); min at (4, -249)

Q: Find the slope and the equation of the tangent line to the graph of the function at the given point.…

A: Given,f(x)= -2x +5 and the point (1-,7)

Q: x3+ 4x2-9x-36 3. у %3 4x2+28x+48

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Q: Find the derivative of the function and then evaluate at the given point. у 3 3x2- 2x; (- 1,5)

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: To Determine: Find the equation for the function f that has given derivative and whose graph is…

Q: Find the derivative of the function and then evaluate at the given point. y= 2x - 5x; (- 1,7)

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

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Q: Find the value of the derivative (if it exists) at the indicated extremum. -4 4/6 3 f(x) = - 3xVx +…

A: To find: The value of the derivative fx=-3xx+2. Formula used: Product rule of differentiation:…

Q: Find the derivative of the function f(x) = -8x² – 18x + 23 by definition of derivatives f(x + h) –…

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Q: find the derivative of the function g(x)=5x^-3+ 6x^-6

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Q: Use the first derivative test and the second derivative test to determine where each function is…

A: The given function y=3x+4 Differentiate with respect to x f'(x)=323x+4 f'(x) is not defined at…

Q: Find the x-coordinates of all local maxima using the second derivative test. p(x)=x7+4x6+10

A: Again differentiating with respect to x, we get

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: Use the Quotient Rule to find the derivative of the function. 5x - 8 23TOM YM x2 – 1 g(x) = g'(x) =…

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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: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Use the second derivative test to find the extreme values of the function 36 f(z)-25z +

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

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Q: Find the derivative of the function. Provide the solution in factored form. f(x) = 2x(x³ – 2)6 %3D

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Q: Find the slope m of the line tangent to the graph of the function f(x) = 5 - 6x at point (-1, 11)

A: Given:  f(x)=5-6x                y=5-6xDidderentating y=5-6x   with respect to 'x'  and substituting…

Q: Use the first derivative test to determine the location of each local extremum and the value of the…

A: The given function is f(x)=4xe-x The objective is to determine the location of local extremum and…

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

A: The alternative form of derivative of a function f(x) at x=c is given by f'x=limx→cfx-fcx-c. The…

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

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Q: Use the Quotient Rule to find the derivative of the function. 3x - 7 g(x) = %3D x² - 1

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given: f'(x)=-2x8-x2,    2,7 Integrate the given function to obtain the function f(x). The formula…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: It is given that,f'x=-2x8-x2     and point 2,9 We have to find the function.

Q: find the function with the given derivative whosegraph passes through the point P. g'(x) = 1/x2 +…

A: g'(x)=1x2+2x,P(-1,1) Formula ∫xndx=xn+1n+1+C

Q: For the function, find all critical numbers and then use the second-derivative test to determine…

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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

A: Answer

Q: Use the First Derivative Test to find the local maximum and minimum values of the function. y = 2x2…

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

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Q: Find the derivative of the given function. f{x) = (9 = 4x³)-2 Let f(x) be expressed as the…

A: our objective is to find the derivative

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: f'(x)=-2x8-x2;(2,8)

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Find the derivative of the function and then evaluate at the given point. y = 2x² - 3x: (-1,5)

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Use the derivative f'(x) = (x - 3)(x + 4)(x + 4) to determine the maxima and minima of f and the…

A: f will be increasing if f'(x)>0. From the graph of f'(x) we see f'(x)>0 when x>3 [because…

Q: Find the function with the given derivative whose graph passes through point P. F'(x)=2x-3, P(5,5)

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Q: Find the derivative of the function. g(x) = ((7x^2-4)/(4x+7)^-2

A: We have to find the derivative

Q: Find the first and second derivatives of the function. w=((3+4z)/4z)(4-3z)

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: f'x=-2x8-x2    passes through the point2,2x,y=2,2Indefinite integral:∫f'x dx=Fx+C

Q: Use the second derivative test to find the relative maxima and minima of the given function. 8 f (x)…

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Q: x +4 3. y = [- (x2+1)7 :3

A: Given that y=x+4x2+13 Simplifying we get y=x+43x2+132

Q: Find the derivative of the function f(x) = (2x² + 5æ + 2)° at æ : - 2)* - 1 f'( – 1) = 3

A: Given :f(x) = (2x2+5x+2)3 at x = -1First we will find the derivative of the f(x)

Q: Find a function with the given derivative whose graph passes through point P f'(x)=x-4, p(1,7)

A: Integrating on both sides, we get

Q: Find the derivative of the function using Chain Rule. f(x) = (2x-5) ¹ (4x+3) Given -2(12x-17) Answer…

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Q: Find the x-coordinates of all local maxima using the second derivative test. f(x) = x³ + 4x² + 10 If…

A: The given function is  f(x)=x3+4x2+10 the graph of above function is given below.. as shown in…

Q: Find the local maximum and local minimum values of f using both the First and Second Derivative…

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