The one-to-one functionsg and h are defined as follows. g (x) = -4x-9 h= {(3, 6), (4, 3), (5, 1), (6, -6), (9, -4)} Find the following. g "(-) = 0 - 1 %3D (-)(-) = 0 %3D h (0) = 0 - 1 !!

Q: If f(x) = 2x and g(x) = 3x4 - 1. Find the derivative of the product (f×g)(x). 30x 30x4-2 30x³ - 2…

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Q: The table shows data for sulfur dioxide emissions from electricity generation (in millions of short…

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Q: Find the derivative of the function. x2 +5 g(x) = x2 + 6x 6х? - 10х - 30 O A. g'(x) = x²(x + 6)2 2x3…

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

Q: find the derivative of the function g(x)=5x^-3+ 6x^-6

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Q: Suppose the derivative of a function  f isf'(x) = (x+ 1) 2 (x -3)5 (x -6)4. On what interval f  is…

A: f(x) will be increasing if f'(x)>0    We first find the zeros of f'(x) They are x=-1 , 3, 6

Q: 4. Find the inverse function of fx) = 25-x2,0Sx 5 1 а. 0sxS5 25-x2 b. x)x+5, - 5sx35 с. f(x)= x2-…

A: The given function is

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A: Given query is to find the derivative of the expression.

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A: we know that ddxsin-1x=11-x2

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Q: Find the derivative of f (x) = (x + 4)5 A) f'(x) = 5x (x* +4)* B) f'(x) = 6x (x+ 4)* C) f'(x) = 30x…

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Q: Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² ,…

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Q: Suppose 8 (x) =V (x3 – 8)2. what is the correct result of the derivative of g with respect to x? 3x2…

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Q: The first derivative of f(x) = (5x* – 6x)-3 will be 18 – 60x3 18 – 60x³ А. (5x4 — 6х)-4 В. (5x* —…

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Q: Find the derivative of the function. g(x) = (1 + 5x)5(4 + x – x²)7 - g'(x)

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Q: The first derivative of f(x) = e5x*-6x will be A. (6-20x)e**-6x B. (20x 6) e5x*-6x C. (6+ 20x)…

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Q: Find the derivative of the following functions. 1. y= -7x^-5 + 4x^2 -19x + 2 2. y= 5x^3-15-25 3. y=…

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Q: Find the first and second derivatives of the following function f(x)=x(6x-7)^4

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Q: The table shows data for sulfur dioxide emissions from electricity generation (in millions of short…

A: (b) To find E'20, substitute x=20 in E'(x)=0.001x-0.0622-0.18x+8.2+-0.18x2+8.2x-2000.001.…

Q: Find the derivative of the function f(x) = (3x4-22³ - 10) ³/2 ○ f'(x) = (12x³ – 6x²)° ƒ' (x) = -—-…

A: The given function is f(x)=(3x4-2x3-10)32 We have to find the derivative of the function

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Q: The derivative of the function f (x) = (x-1 – 2)(3 – Vx ) is, %3D 2x2 – x – 6/x A. fi(x) %3D 2x2+…

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Q: f and g are functions of time, and at time t = 2, f equals 2 and is rising at a rate of 6 units per…

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Q: Find the first derivative for the following function. x5 – 4x3 g(x) : %3D 6x3 + 5x A. g'(x) =…

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Q: Find the derivative of the given function. f(x) = (2 - 5x³)-2 1 f'(x) (2– 5x)-2 5x* 3

A: We have to find derivative

Q: Find the derivative of g(x) = 4x 1+4* •

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Q: Find the derivative of the function. g(x) = In(x – 5.1x=1) g'(x) =

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Q: Find the derivative. 4 20) f(x) = 4 2 ,find f'(x) + 4 10 2 B) - x3/2 x2 x4 4 10 A) x1/2 x2 x6 4 10 4…

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Q: Find the derivative: g(x) = 6x² e- X O g'(x) = 6xe (2-x) Og'(x) = -12xe** O g'(x) = 6xe (2-x) O…

A: We have to find derivative of given function.

Q: 1 Find the derivative of 24 – 3x² +5 글(21-3교2 + 5)글 (4z3 - 6z) 글 (21-3교2 + 5)굴 This function is not…

A: We can take logarithmic to solve it easily.

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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: Find the critical points of the following function. f(x) = 3x² + 5x - 1 What is the derivative of…

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Q: f(x) = 3x4 − 3x3 f '''(x) =

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Q: The derivative ofthe function f(x) = (5x³ – 2x² + 3x – 1)³ Is 3(5x² – 2x² + 3x – 1)°(15x² – 4x + 3).…

A: We have given  function fx=5x3-2x2+3x-13 Then, f'x=35x3-2x2+3x-1215x2-4x+3

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

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Q: Find the derivative of the function * 15 f (x) = (18x + 23) 3 1 12x 12 f' (x) = f' (x) = (18x² + 23)…

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Q: .4 In(12x + x), the derivative Given g(x) = g (x) is 12x4 + x 48x3 + 1 48x +1 12x4 + x 4x3 48x³ + 1

A: Given,  gx = ln12x4+x  We have to find the derivative g'x .

Q: find the derivative of the function:   f(x) = det [ -1  -4  3  -4  -3 ]                  [  3   0…

A: To Determine: find the derivative of the function that is f'(x) Given we have a determinate…

Q: Find the general form of the function whose second derivative is 2 . 8 x 5/2 + C 1X (A 15 8. x 5/2 +…

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Q: Compute the derivative of g(x)=(x5-2x4+7)/x2

A: Derivative of function

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Q: Find Higher Order Derivative: f(x)= x5-16x3 - 1/x; f''(x)= ? O 20x3 - 96x - 2x(-3) O 60x2 - 96 +…

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Q: Find a function with the given derivative whose graph passes through point P f'(x)=x-4, p(1,7)

A: Integrating on both sides, we get

Q: Find the derivative of the function using Chain Rule. f(x) = (2x-5) ¹ (4x+3) Given -2(12x-17) Answer…

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