Question 7 (5 points) For y = =20x4 - 16x3 - 10x + 20, find d³y dx3 240x2-32x 73 82,425 C 480x 96 80x³-32x 480 Question 8 (4 points) Find an equation of the tangent line to the graph of f(x) = 36 at the point (8, 2-2 A) y=x+14 B) y=-x+2 C)y = -2x+4 D) A MacBook Pro O . W +

Q: A basketball is thrown from a height of 4 feet so that it- fx) = -0.03x² + 1.3x+4. If the exact same…

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Q: Does y = (x-5)^(2/3) have a point of inflection?  Discuss.

A: The given function is y=x-523. The objective is to calculate the point of inflection.

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: ,2 px + qx + r ax + b find the derivatives

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Q: What is the second derivative of 5x² (x + 47) A 30x - 470 B. 30x + 470 15x2 +235 15х + 470x C. D

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Q: Find the second derivative [ f"(x)] of the given function: f(x) = eln Vx²+2 %3D (x2 + 2)) x(x² + 2)-…

A: Given problem:- Find the second derivative [f''(x)] of the given function:   f(x) = eln√(x^2+2)

Q: Find the solution to this equation: z^3=(-1-(sqrt(3))(i))

A: Complex number

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: Choose one application of differentiation and explain the application in real life problem by giving…

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Q: Q/ Find the equation of the tangent to the test subject y = Vsin 4x, %3D and passes through the…

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x+7x ---.

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Q: Determine the derivative in simplified form (no negative exponents, radicals and fully factorod…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: 1.) y = (3x² – 1 ) (4x +7 )

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Q: A firefighter holds a hose 3 m off the ground and directs a stream of water toward a burning…

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Q: 3) y=(7x² – 2x + 3)

A: Derivative,

Q: x'-3x+5 3) y= x² +1

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 6x3 + 5x2 – 5x – 4 at z = -4. %3D

A: Firstly, we will differentiate f(x) and put x=-4 to find the slope of the equation then we will find…

Q: Find the equation of the tangent line to the graph of the function ?(?) = −(? + 8)2 + 4 at the point…

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Q: -*+ 42 –11 f (x)

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: What is the derivative of cot³( 4x³ – 2x)? A (– 36x²+6)cot2(4x³– 2x) csc²(4x³– 2x) 36x?cot (4x³ –…

A: Given : Function cot34x3 - 2x   To find : Derivative of given function?

Q: What is the midline equation for the function

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Q: What is the equation of the tangent to the curve of the function: f(x) = 6x³ + 4x² +3x+2 when x = 1?

A: The given function is: f(x)= 6x3+4x2+3x+2At x=1, y=f(1)= 6+4+3+2= 15

Q: The value of (-1+v3 i)^(1/3)

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Q: create 2 sample word problems of basic rules of differentiation  with solutions

A: First problem: At what rate is the area of square increasing when the side increases at a rate of 2…