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

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

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Q: derivative of f(x)= 1/(x^2+5) is

A: Given,          fx=1x2+5

Q: Find derivative of the function f(x)=x power3 -1/x-1

A: By applying the chain rule and quotient rule we find the derivative of a function.

Q: Find the higher-order derivative. f ''(x) = 18x3 − 34x2   f '''(x) =

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Q: 1. Find the first derivative by using the definition for f(x) = 3x² – 2x – 5, hence - find f'(-2)

A: Derivative of a function is ratio of difference in output and difference in input.

Q: Using the limit definitoin of the derivative, comput the derivative of the function. x^3+3x^2+x+3…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of…

A: Differentiate the function with respect to x using the chain rule to find f'(x). According to the…

Q: Find the derivative of the function using the definition of derivative. 1 g(x) 8 + Vx g'(x) =

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Q: Using the criterion of the first derivative, find the graph of the function: F(x) = 114 (x*) + 4,…

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Q: Using the criterion of the first and second derivatives, find the graph of the function a) F(x) = x³…

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Q: Using the criterion of the first and second derivatives, find the graph of the function b) 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: Using the second derivative criterion, find the graphs of the functions a) F(x) = x*– 8x² +3

A: Given- (a)  Fx=x4-8x2+3 To Find- The graph of the above functions using second derivative.

Q: find the derivative by using the definition of a derivativef(x)= the square root of x+1

A: We need to find the derivative using the first principles (without appealing to any standard…

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: Using derivative, find the absolute maximum and minimum of f(x) = 2x3 +3x2 −12x on [−3,3]

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Q: using the definition of derivative to find f'(x) for the function:f(x)=4/x. How do I solve this?

A: Given problem is to find the derivative of f(x) = 4/x

Q: Find the higher-order derivative. f ''(x) = 10x3 − 32x2 f '''(x) =

A: This differentiation process can be continued to find the third, fourth, and successive derivatives…

Q: 3) Find the derivative f(x) = xe-*In(x³) %3D

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Q: Find the derivative of f(x) = -5x-6. Do not include "f'(x) = " in your answer. For example, if your…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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

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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 value of derivative f'(a) for the given value: f(x)=x2 + 3x + 1, a=3

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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: 3) Find the derivative of the function f(x)= x² –x+2 using the definition of the derivative (a…

A: Given:     To determine: Derivative of the function using the definition of the derivative.

Q: Using the limit definition of derivative, find the derivative of the function f (x) = 3x + 5.

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Q: 3) Use the definition of derivative (do NOT use the short cut method) to find_ƒ'(x) given that f(x)…

A: This question is based on finding slope using definition of derivative.

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

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Q: o f(x) = 4~/x+3

A: by using definition of a derivative.

Q: find the derivative of g(x) = (x+5)/(5-2X) using the definition of the derivative. must show all…

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Q: Find the derivative of f(x)=x2-3x. Use the result to find the slope of the tangent line to the curve…

A: Given: fx=x2-3x To Find: The derivative of the given function and the slope of the tangent line at…

Q: b) Use second derivative test to find absolute maximum and minimum values of f (x, у) 3 Зху — 6х —…

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Q: Using the definition of the derivative, differentiate the function f(x)=x2+2x−2.

A: To find the derivative of the function f(x)=x2+2x-2 By the limit definition of the derivative,  The…

Q: . Use derivative rules to find the derivative of h(x) = 3f(x) – 2g(x) – x² f (x) +. Show steps g(x)

A: See attached file for a step by step explanation.

Q: '(a): Using the definition of derivative, find the derivative of f(x) = x² + 1.

A: The given equation is: fx = x2 + 1 The derivative of this equation is found as follows:

Q: Using the First Derivative Test, what are the local extrema for the function h(x) = 3x3 – 9x2 – 72x…

A: It is given that,              h(x)=3x3-9x2-72x+9we have to find the local extrema of the function.

Q: 2) Find the derivative of the function f(x) = 3x² by definition

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Q: How do you find the derivative of f(x)=5/1-8x using the definition of a derivative?

A: The given function is f(x)=51-8x

Q: ***** Find the derivative of the function. Express the 2+3 f(x) 4- x2

A: The function is in the form of u/v. Kindly follow the attached imaged.

Q: with the limit definition of a derivative find the derivative of g(x) = (x-1)^2 + 1

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Q: ind the derivative of f(x)= (x^3)/(x^3-5x+10)

A: Given:    f(x) = x3x3-5x+10