Tocal maXIITum of .3 Use second derivative test, If f(x) 36x + 4 then f(r) has a local maximum at the point -7 I=7 I= 6 6.

Q: 3. Approximate the first order derivative of f(x)= x² + 2x at x = 3, using Forward, Backward and…

A: Formulas for differences are enclosed next page

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

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Q: Q: Use the Second Derivative Test to classify the local extremes of the function f(x, y) = 10xye-(x²…

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Q: A function and its first and second derivatives are given below f(x)=2x²+3x²–12 x+6…

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Q: Determine the point(s) at which the graph of f(x) =  -4x/square root of 2x-1   has a horizontal…

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Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: Given function is  f(x)= x^3 -3x^2 -9x-1

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

A: Solution:-

Q: Use second derivative test, If f(x) = 4x +9 then f(x) has a local maximum at the point 3. I= 3 I =…

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Q: The derivative of a certain continuous and differentiable function is given by: y = 3-x - 12-x +9.…

A: For maxima-minima, derivative of the function must be zero. That is,…

Q: 10) Using the First Derivative Test, what are the local extrema for the function 5(x)==x²+10 x³…

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Q: 4 – x2, - 2x, X 0

A: given f(x)=4-x2,  x≤0-2x,    x>0

Q: 8. Determine the intervals where the function is increasing or decreasing. Find the local maxima and…

A: First derivative test

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: 3 + 3x – 5 Find the local maximum by solving the derivative P'(x)=0, – 2x + -- %3D |

A: Given Find out local maximum

Q: Find the r-value for all relative extrema of f(x) using the first derivative test. 1+x +x? f(x) : x2…

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Q: Q: Use the Second Derivative Test to classify the local extremes of the function f(x, y) =…

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Q: In a certain place, the temperature readings at 7 am and 3 pm were 21°C and 35°C, respectively. Then…

A: A. Intermediate theorem can be applied to solve such type of problems as This problem is solved the…

Q: 1. Given f (x) = xv9 – x² on the interval [0,3] %3D a. Show work for finding derivative. Simplify…

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Q: Find an absolute minimum and absolute maximum,find a local minimum and local maximum, find the…

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

A: Given, fx=xx2+16

Q: 4.The derivative of a function f is given by f'(x)=(-2x-2)e^x, and f(0) = 3. A. The function f has a…

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Q: 73 9x +4 then f(x) has a local maximum at the point 3 Use second derivative test, If f(x) %3D - O…

A: Topic:- application of derivatives

Q: (x)=(x+6)/x^2 find critical numbers? find open intervals on which the function is increasing or…

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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 x value(s) for any relative extrema. Use the Second Derivative Test to determine if this is…

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Q: 1.Use the second sufficient condition for an inflection point (the third derivative test) to find…

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Q: Q: Use the Second Derivative Test to classify the local extremes of the function f(x,y) =…

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Q: Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3xVx + 2 10 -2 4…

A: The given function is fx=-3xx+2.

Q: b) Find the inflection points. 4. For the given function find the local extrema using the Second…

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Q: nd second derivative tests. (x) has a relative Choose onev at the point (?, ?) Choose one maximum

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Q: Use derivatives to find the critical points and inflection points. f(x)=5x - 2lnx Enter the exact…

A: Given:        fx=5x-2lnx  Critical points:         Critical points are points where the function is…

Q: Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3xVx + 2 10 -2…

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Q: Find the relative extrema of f(x) = 9 + 30x – 5x? using both first and second derivative tests. f(x)…

A: Derivative one time and equate it to zero to find the critical point. Derivative second to find the…

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

A: The objective is to find relative extrema, if any, of the function.

Q: – x* – 6x2 + 5x + 12 , use either the First Derivative Test OR the Given the function f(x) = Second…

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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: 6. Find the values of at which the graph of f(x) = = 4x² - 3x + 2 has a tangent line parallel to the…

A: Follow the procedure given below.

Q: 8. Using the second derivative test, find the maximum and minimum points for the function f(x)=x*…

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Q: Find all critical points and then use the first-derivative test to determine local maxima and…

A: we have to find our the critical points and local minima and local maxima of the function…

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

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

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Q: Find the relative extrema of f(x) = 2+ 90r 5x using both first and second derivative tests. f(x) has…

A: We can find the relative extremum as below

Q: Find the local maximum value of f using both the First and Second Derivative Tests. (If an answer…

A: Given fx=x+5-x

Q: Use second derivative test, If f(x) = 4x+4 then f(1) has a local maximum at the point I = -3 I = -2…

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Q: Please help me with part F, G and J

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Q: Using the definition of the derivative 1. find S'(2) if f(x)=x 2. find f" if 2x

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A function f is defined by f(x)=x' – 3x² – 24x , where xeR. (i) Find the coordinates of the…

A: Given that fx=x3-3x2-24xi  stationary points occurs…

Q: 1) Suppose the second derivative of a contiovous function given by f"(x)=Cx-2 )3 (x-2)2 (sx-) A…

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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