(6)이 7. a) If f(x) 2-2r-3 and g(x) 2-9 then determine h(x) Express your equation of h(z) in fully simplified form. b) State the domain of h(x). Your answer:

Q: 1. Find the derivative of the following 9x²-4x+9 a)y = 2(x²-3)²√√3x-1

A: We know that the derivative of a function fx is the rate of change of that function with respect to…

Q: 1. Find the derivative. (a) f(x) = (6x² – 8x + 4)4 2х -5 (b). у %3D 2x2 - 10

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: By the fundamental theorem of calculus if we have F(x)=∫f(x)dx then F'(x)=f(x). In some cases an…

Q: 5. Find the derivative by using the quotient rule. 3x - 2 (a) 2x +3 V+2 (c)- 3+2x (b) x +1 x+2 (d):

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Q: 1. Find the derivative of f(x). 3x³ 2x²-x-5 - (a) f(x) = √x (b) f(x) =

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Q: Find the first and second derivatives of the functio f(x) = x(x² + 4)2 %3D f'(x) = %3D f" (x) = %3D

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Q: In Exercises 11–28, calculate the derivative with respect to x of the other variable appearing in…

A: Consider the equation  3y3+x2=5

Q: Find the derivative of the algebraic functie c3 – x³ c3 + x3 c is a constant. f(x) %3D 6r3 3 (3 +x³)…

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Q: Find the derivative of y = 3x² + 5x- 2 from first principles.

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Q: Prove that 1 3V2 dx < 3 + x (Hint: Theorem 5.9(ii) and carefully chosen functions should do the…

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Q: Find the derivative of f(x) = (2 - 3x) (-5x + 4). O 2 О 22-30х О зох + 22 30x + O 15x + 8 None of…

A:

Q: 1. Find the first derivative the function g(r) = 6x + 54x² + 90x. = (x),6 2. Find the second…

A: Given:- g(x) = 6x3 +54x2 +90x To find:- g'(x)  g''(x)  g''(-1)

Q: Find the roots of the function f(x)=(2x-1)(x2+2x-3) with x belong to R

A: f(x)=(2x-1)(x2+2x-3)=0 We have find all the real numbers that make f(x)=0 because it is given that x…

Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A: The function is given by f(x) =-2x3+6x2-3 To evaluate : The point of local maxima or local minima.

Q: Example 2: Using the False Position method, find an approximated root of the function: f(x) = x² –…

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: Let Ax) = 8x_+ 3x² – x + 1_. a. Determine f (x). b. Use 13a to find the equation of the tangent line…

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Q: Find the derivative of z² + 5 (à). f(x) 12-5

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Q: 8 Describe the long run behavior of f(x) = x° – 5x* + 5æ° – 1 - - As x → - 0o, f(x) → ? As x → 0,…

A: Given  f(x) = x8-5x4+5x3-1 We have to find the end behavior of the function.

Q: Which of these is fixed point equation for f(x) = x*+9x²-x-3. O f(x)=x/(x°+2x) O f(x)=(x+3)/(X+2) O…

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Q: 5. Use the Intermediate Value Theorem to show that the function f(x) = x³ + x² – 1 has a zero…

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

A:

Q: In Exercises 11–28, calculate the derivative with respect to x of the other variable appearing in…

A: Given: y4-2y=4x3+x for finding value of dydx, we differentiating given expression with respect to x

Q: 5. Show that the function f (x) has roots between (0,2) x² + 2x – 3 f(x) x - 1

A: To show the f(x) has roots between a and b we have to show that

Q: In Exercises 29-80, compute the derivative. 29. y = 3x 5 - 7x 2 + 4

A: y=3x5-7x2+4

Q: 33. Find the derivative of f(x)= (3x-2x?)ª 1. 3(3x-2x²)² II. 3(3x-2x³)² (3-4x) II. (3x-2x?) (3-4x)…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 8. Find the derivative of the function fx) = x? - 10x + 3 using First Principles.

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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. Obtain the TSE of f(x)=2x-² in powers of (x-1).

A: Solution is here

Q: b. f(x) = 4/x(2x° -4x° %3D

A:

Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A:

Q: 9

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Q: If g(u) = (u+1)/(4u-1), how do you find the derivative, g'(u), using the definition of derivative? I…

A:

Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

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: Which of these is fixed point equation for f(x) = x*+5x²-x-3. O f(x)=-x = x*+2x²-x-3 O f(x)=|x |=…

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Q: 1) Find the derivative of f(x)= 2x³+ 2x +12. Then evaluate the

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

Q: 5. Show that the function f (x) has roots between (0,2) x² + 2x – 3 f (x) = X - 1

A: Given that

Q: The derivative of f(x) = 10 (x2 + 13z) is О 10х + 130 О 10х ?(2т + 13) O 10 O -10x 3(2x + 13) O -…

A:

Q: Suppose 8 (x) = sec-"(x²). what is the derivative of g with respect to x? A 8 (x) = B 8 (x) =- © 8…

A: Let's find.

Q: x3 – 3x2 + 5 f (x) = x3 + 1

A: We have to find derivative

Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A:

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

A:

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: What is the derivative of f(x) = -3? Do not include "f'(æ) =" in your answer. For example, if you…

A: Given            f(x)=-3

Q: 8. Find the derivative of the function f(x) = x ² - 10x + 3 using First Principles.

A:

Q: х — 1 - 2. For f(X) calculate f-'(8) = ? %3D х — 3 -

A: Given : f(x) = (x - 1)/(x - 3), we want to find the function f-1 that takes the value y as an input…

Q: Q3\ Find the second derivative of the funetion F(x)= 3x + 2x - 6x2 -4

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.