Make 2 examples (problem solving) regarding maximum and minimum values (application of derivatives.

Q: Find the derivative of y = (2x³-6)*(3x-2)2

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Q: Show that the x-coordinate of the vertex of the parabola whose equation is y = ax2 + bx + c occurs…

A: Given the equation of a parabola y=ax2+bx+c

Q: Describe what a partial derivative means geometrically.

A: Describe what a partial derivative means geometrically.

Q: 9) If a function is decreasing with an upward concavity, what do you know about the function's first…

A: Since you have asked multiple question in a single request, we would be answering only the first…

Q: Example: Sketch pictures of some functions that would not have a derivative at x = 2.

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Q: Use the guidelines from section 4.5 to graph the function f(x) = x2/3 (6 – x)/3 For your…

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Q: Solve for the second-order derivative of: [(4x3-1)(8x2+6x-3)]3

A: We have to calculate second order derivative of [(4x3-1) (8x2+6x-3)]3   Let us say  Y= [(4x3-1)…

Q: Describe the two methods that help to differentiate the equations implicitly, and find the…

A: The two methods that help to differentiate the equation implicitly and derivative…

Q: What is the derivative?  (3x-4)2(x3)

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Q: 2.x4 h(x) = 5x³ + 6 .

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Q: Find the derivatives of the functions in Exercis y = (4x + 3)4(x + 1)-3

A: y=(4x+3)4(x+1)-3

Q: Calculate the derivative of the exercise: y=(4x3+3)4(x+1)-3

A: To find: The derivative of below expression.

Q: What are the maximum and minimum values in application of derivatives?

A: We have to define the maximum and minimum values in application of derivatives.

Q: A calculus professor introduced the derivative by saying that it could be summed up in one word:…

A: Meaning of word of calculus professor who intoduced the derivative by saying that it could be summed…

Q: Use the deffinition of derivatives to deffrintiate y= -x3+3x-6

A: Here the given function is

Q: Find the derivatives of the functions in Exercise

A: The given function is y=x-35+π32

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: 9) Write an equation of the tangent line to the graph of y = 5x2 - 8 at the point where x 0. %3D -3x…

A: Quotient rule of derivative of the function f(x)=u(x)/v(x) is

Q: In Exercises 13–32, findthe derivative of the function. y = (2x − 7)3

A: The derivatives of a nested form of functions can be calculated by using the chain rule of…

Q: Find the derivatives of the functions in Exercise

A: Find the derivatives of the functions in Exercise

Q: Find the derivatives of the function f(x) from the first principle x4+4

A: Here is the solution

Q: Find the derivatives of the functions in Exercis y = (2x - 5)-1(x2 - 5x)6

A: Given function - y = 2x-5-1x2-5x6y = x2-5x62x-5               ........(1)  Identity to be used -…

Q: OF(x)= - 2x3+ 84x2-72x on 7- -6x²+48 x-72=0

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Q: What are the applications of these derivatives?

A: First derivative tells the rate at which the original function changes.  Second derivative tells the…

Q: Find the derivative of 4x +2 -(2) Y = -2x-4

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Q: >*>0 impending y= Curve, x= 0 and

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Q: Explain the rule of maximum and minimum using Derivatives with an example?

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Q: Discuss the solution on how to get the derivative of the function

A: This question is related to differentiation, We will solve it using given information.

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: 6. 3. Find the derivative of: -2Vx++ 5x – 8

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Q: Find the derivative of h(x)=1/(−3x^2+3x−2)^3. may leave answer in factored form.

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Q: 6 (x+2)(x-5)(x²+7) V(x3-8)(x+3)(x+4) %3D

A: Using Logarithmic Differentiation.

Q: compute the derivative of the below graph 6. 4- -3 1 0 -2 -4 -6 w. 2.

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Q: Give information on this application of derivatives:  Optimization

A: Topic:- application of derivatives

Q: Choose the derivative of sec-(æ). 1 1+ 22 1 - 1 1 V1-3 1 aVa - 1 1 1+ 22 1 1 - a2

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Q: Vx-3 6. f(x) = X-9

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Q: 1. f(x)= Vx3 + 2x² + 3

A: topic - second order derivatives

Q: Help 18 cubic function whose graph has horizontal tangents at (-2,6) and (2₁0). {Y= ax ³ + bx²²…

A: Let's solve.

Q: what are the real-life applications of derivatives?

A: Definition of derivatives helps to find real-life applications. Functions obtained after the…

Q: Please provide an example of real life computation and application of derivatives

A: Follow the steps.

Q: f (x) = - 4x² - 6x x²+3

A: The given function is f(x)=4x2-6xx2+3. Find the derivative of the function. Here we use the…

Q: -f(x)=√√5x² +2

A: Please see the answer below.

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: What information can be obtained from derivatives? Please provide 2 examples from the real world and…

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Q: Explain derivatives on optimization ?

A: Topic:- derivatives

Q: Describe how you would use the second derivative to determine a local minimum or maximum.

A: Given data is: How you would use the second derivative to determine a local minimum or maximum

Q: Define Partial Derivatives?

A: Partial Derivative is the process of differentiation used in functions containing two or more…