Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x* + 4x3 – 4 relative maximum (x, y) = relative minimum (x, y) =

Q: gives the first derivative of a continuousfunction y = ƒ(x). Find y″ and then use Steps 2–4 of the…

A: Given that the first derivative of the function is  y'=(8x-5x2)(4-x)2

Q: Derivative of f(x)=1+ 2x+3xy computed * O explicitly equal to 2+3x implicitly equal to 2+3x+3dy/dx O…

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Q: 9. State the Second Derivative Test for functions of two variables z = f(x, y)

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Q: Find the critical points of the function. Then use the Second Derivative Test to determine whether…

A: Critical points make a difference in the behavior of the function. That is, at each critical point…

Q: Q-2: Find the derivative at each critical point and determine the local extreme values.

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Q: Determine the critical points of f(x, y) = 4.xy-a -y". Then, using the Second Derivative Test,…

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Q: Find the derivative of the function f(x) = V (x² – 3)° at x = 5 at x = – 2. f'( – 2) = Preview

A: Given :    f(x) = x2-356    , x = -2

Q: he partial derivative. x² 8x y-6xy. Find f, (x.y). 3

A: f(x, y) = x3 - 8x2y -6xy3 We have to find the partial derivative w.r.t y

Q: Find relative extrema of the function. Use the second derivative test when applicable. (If an answer…

A: Solution:-

Q: 1-x Find the derivative of y = arctan %3D 1+x

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Q: 3x-7 y: y%3D arctan 6. 6(x²+3) Find the derivative of the function

A: Given, y=tan-1x6+3x-76x2+3 Differentiating both the sides, we get…

Q: 6) Use derivatives to find where the function is concave up f(x)=x.e2x*

A: If  f "(x) > 0  on an interval, then f(x) is concave up on that interval.

Q: Consider the function f(x,y)= 2-x* +2x² – y² Find the critical points of f. Use the second…

A: At first we calculate D=fxxfyy-fxy2 at each critical points. If D<0 the critical point is a…

Q: Find the derivative of the function = V(=² – 3)* 6, f(x) at x = 2. %3D f'(2) =

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

A: Given: fx=x4-2x2+6 To Find: All relative Extrema

Q: Use second derivative test, If f(x) 4x +4 then f(z) has a local maximum at the point %3D I = -3 T= 3…

A: This question is based on maxima and minima of function.

Q: Find the derivative of the function. f(0= cosh? (2t2 + 9) a. st sinh (2t² + 9) b. st cosh (2t² + 9)…

A: Given  ft=cosh22t2+9 The chain rule is used in differentiating the above function F'x=f'gxg'x

Q: Find the derivative of the transcendental function. y' = y = 6e* x² +8 6(x²–2x+8)ex (x+8)²

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Q: x3 + xy² + x + i(x²y + y³ – y) x² + y2 F(z)

A: We have to find the derivative of f(z).

Q: Find the derivative of the function. y = 3 tan(x - V1 + x 1 + x2 y' = ||

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Q: 6 Find the derivative of f (y) =7tan(y) - 6.

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Q: (i) Find the first derivative of the function: y = 4x - 2x3 + 5 (ii) Differentiate the…

A: Given : (i) y = 4x - 2x³ + 5 (ii) y = 2 - x⁴ + 3/x

Q: Use the graph of the first derivative function f'(x). Find the critical numbers (only x value)

A: Given:Graph of first derivative of the function:

Q: d²u If u3 = a²t, find dt?

A: Given,             u3=a2t

Q: Find the derivative of the function using the slope limit formula. 1 y= 3-х 1. y=(3x+1)2 2. 1 y= 1…

A: Note : As per our company guide lines, we are supposed to answer only one question. Kindly post…

Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an…

A: fx=x4-8x3+9

Q: Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable.…

A: maxima and minima

Q: Find the derivative of the function. y = 13 arctan V (v²) y' =

A: We have to find the derivative of the function  y = 13 arctanx.

Q: Find the derivative of the function. y = arctan 1 + x 1 - X y' =

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Q: To begin with, calculate the first derivative f'(x) = Now use this derivative to find the critical…

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Q: Find the critical points of the function. Then use the Second Derivative Test to determine whether…

A: According to the given information first it is required to find critical points of function:

Q: Find the x-value of the extrema by using the Second Derivative Test. Justify your answer. f(x) =…

A: As per the question, we need to find out the x value of the extreme, for bubble 3 only. For (3),…

Q: Using the definition, find the derivative of fz) = 3 z^-6 z² at point z= 0

A: Given,          fz=3z4-6z2

Q: find the equation of tangent line of function f(x)=csc(x)-cos(x)1/2 at the point ((2*3.14)/3,…

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Q: Find the critical point of the function. Then use the Second Derivative Test to determine whether it…

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Q: f(x, y) = x² − 4x³ + 2y² + 8xy+1 -

A: According to the guidelines I am answering first question only.

Q: y=-sinx . 3π X 2 元 2. 2 N/2

A: Given: y=-sinx

Q: Find the critical points of the function. Then use the Second Derivative Test to classify the nature…

A: Critical points and classification

Q: Find the derivative of the function. y = 4sin(Tx) y' = %3D

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Q: Find the critical point of the function. Then use the second derivative test to classify the nature…

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Q: Find the critical points of the function f(x,y) = x^4 + y^4 - 196xy and use the Second Derivative…

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Q: 5x f(X) = V2x+3 %3D Find the first derivative given that

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Q: Find the derivative of the function. y = etan(8) y' =

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Q: Apply derivatives to determine the critical points of the function ?=?(x−6)².

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Q: Find all relative extrema of the function Cx) =x' -6, Use the Second Derivative Test where…

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Q: Find the derivative of y with respect to x Y=(7x+3)^x

A: Find the derivative of y with respect to x Y=(7x+3)^x

Q: Show full solution: Find all relative extrema and saddle points of the following function using…

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Q: Find all possible functions with the given derivative. 1. If y 1, then y %3D 2. If y = a, then y 3.…

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Q: Appy the second derivative test to find the absolute maximum value on (0, 0) for f(x) = 15-4x

A: Given function is, f(x)=15-4x-250x2