Use the First Derivative Test to locate the x-value of all extrema. Classify if it is a relative max/min and justify your answer. f(x) = (x2 - 9)5 f(x) = x – x² - 3x + 4 6.

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

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Q: use the definition of derivative to find f prime (x). f(x)= 3(2x-1)^3

A: Given function is fx=32x-13. To find the derivative of the function using definition of derivative.…

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

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Q: b) Use the definition of the derivative to find the derivative of f(x) = 4x³ + - at a = 1. 23

A: Given: fx=4x3+1x3; x=1 We know that ddxxn=nxn-1                                          ..1

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

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Q: Use the limit definition of the derivative to find f'(x). f(x) = 3 + 2x – x²

A: Given function isfx=3+2x-x2we have to find the  derivative by defination .Formula used :- finding…

Q: Use the limit definition of the derivative to find the derivative of the function 3x – 7 f(x) = %3D…

A: The function f(x)=3x-75x2+1. We have to find the derivative of the given function using the limit…

Q: Use the first derivative test to determine the local extrema, if any, for the function f(x) = 3(x -…

A: Given that a function f(x) and we find local extrema. For local extrema we do first derivative of…

Q: Find f'(x) using the definition of the derivative. 1. f(x)=x^3-1

A: We have given f(x) = x3-1 So using definition of derivative  f'(x) = limh→0fx+h-fxh So f(x+h) =…

Q: Use the first derivative test to determine the relative extreme values of the function. below. a.…

A: We have to determine the relative extreme values of the function using the first derivative test.

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: Consider the quadratic function y=4-x². Using the limit definition, find the derivative of the…

A: To find the derivative

Q: Let f(x)= 3x^2+x-5. Using the definition of the derivative, find f’(x).

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Q: Use the Chain Rule to find the derivative of the function. y = (x3 + 5x2)−1 y' =

A: The function is given by,

Q: Use the definition of a derivative to determine all points for the function f(x) = ((x+|x|)^2)+1 is…

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Q: For the function f(x) x + x3, find all of the relative and absolute extrema using the first or…

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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: 5x3 f(x) = – 14x + 8 3

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Q: Use the first derivative test to determine the relative extreme values of the function. below. a.…

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

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Q: a) Using definition, compute the derivative function of f (x) = 4x7

A: Here, we will find derivative of given function by definition of derivative,

Q: Use the Quotient Rule to find the derivative of the function. x2 h(x) = %3D X + 2 h'(x) =

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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: f(x) e3x+1 lnx³

A: Here we have two functions in the right hand side. That is f(x) is the product of two functions. So…

Q: Use the General Power Rule to find the derivative of the function. g(x) = V2 – 7x g'(x) = %3D

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Q: Use the Chain Rule to find the derivative of the function. y (4x2 - 7)3 %3D

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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: f(x) = V4x +5 , use the definition of the derivative to find f '(x).

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Q: Find the derivative of y = xArcsinx + V1 – x².

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Q: Find the anti-derivative of  s(x)=−7x2.  (Do not include the constant C in your answer.)

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Q: Find the x-value for all relative extrema of f(x) using the first derivative test, and specify…

A: f(x)=x3/3 + x2/2 -2x Find the x-value for all relative extrema of f(x) using the first derivative…

Q: 2) Use the second derivative test to find the local extreme values of y= x5 – 5x³+7

A: Given that, We will find the local extreme values of the function as following.

Q: local extrema, if the test applies. Otherwise, use the First Derivative Test. f(x)=x^4+8x^3+2 Enter…

A: Given query is to find local extrimas.

Q: Find the derivative of the following using the limiting process. f(x)= -4x2 + 5x

A: Given: fx=-4x2+5x

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: Use the limit definition of the derivative to find the derivative of: f(x) = x^2+5x-2

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

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Q: Given ƒ(x)=2x² – x, find f '(x)using the definition of the derivative. www ww

A: Derivative of function f(x) by definition is defined by f'(x)=limt→xf(t)-f(x)t-x

Q: Find the x value for all relative extremes of f(x) using the first derivative test. And specify…

A: Given,            f(x) =x2 - 15x - 15x + 1

Q: Use the limit definition of the derivative to find f'(x) given f(x) = x² – 3x + 5.

A: Given function :

Q: Use the second derivative test to find the extreme values of the function f(z) = z-3z2-24z

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Q: 4x Find the derivative of f(x)= In- 3x+2

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the derivative of the function f(r) = 3x² – 12x by the definition of derivatives | f(x +h) -…

A: here option C is true 6x-12